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Factorisation Factor Theorem Free Doubts and Solutions

CBSE - IX - Mathematics - Polynomials

Using factor theorem factorise the polynomial x rays to 4 + x rays to 3 -7x rays to 2 -x +6

Asked by kinalsp 20th June 2018, 9:18 PM
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CBSE - IX - Mathematics - Polynomials

Find integral zeros of 2xcube +3xsquare -8x-12

Asked by kinalsp 20th June 2018, 9:13 PM
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CBSE - IX - Mathematics - Polynomials

Factorise:  36q²+54q+20  

Asked by riyamaths 28th March 2018, 6:13 PM
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CBSE - IX - Mathematics - Polynomials

If the polynomial x4 + mx3 - 25x2 - 16x + n is exactly divisible by x2 - 4, then what are the values of m and n?

Asked by sohambhattacharjee28 2nd March 2018, 9:28 PM
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CBSE - IX - Mathematics - Polynomials

if x+a is a factor of 2 x^2+2ax+5x+10 find a

Asked by 1937812326538158 5th January 2018, 9:49 PM
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CBSE - IX - Mathematics - Polynomials

Please solve question no 1 with proper explanation 

Asked by adityaahuja099 11th December 2017, 9:07 PM
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CBSE - IX - Mathematics - Polynomials

Factorise: x3 - 23x2 + 142x - 120.

Asked by Topperlearning User 14th September 2017, 2:54 PM
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CBSE - IX - Mathematics - Polynomials

Factorize: x3 + 6x2 + 11x + 6.

Asked by Topperlearning User 14th September 2017, 2:51 PM
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CBSE - IX - Mathematics - Polynomials

Without actual division, prove that a4 + 2a3 - 2a2 + 2a - 3 is an exact multiple of a2 + 2a - 3.

Asked by Topperlearning User 14th September 2017, 2:50 PM
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CBSE - IX - Mathematics - Polynomials

Find the value of k if x - 2 is a factor of P(x) = 2x2 - kx2 + 13x + 10

Asked by Topperlearning User 14th September 2017, 2:47 PM
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CBSE - IX - Mathematics - Polynomials

If (x - 2) is a factor of 5x4 - 10x3 + 2x2 - px + 10, find the value of p.

Asked by Topperlearning User 14th September 2017, 2:43 PM
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CBSE - IX - Mathematics - Polynomials

Asked by Topperlearning User 14th September 2017, 2:24 PM
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CBSE - IX - Mathematics - Polynomials

Find the value of 'k' if (x - 1) is a factor of f(x) = 2x3 + kx2 - 3x - 2.

Asked by Topperlearning User 14th September 2017, 2:23 PM
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CBSE - IX - Mathematics - Polynomials

  Examine if (x + 1), (x + 2) and (x - 3) are factors of the polynomial x3 - 2x2 - 5x + 6.

Asked by Topperlearning User 14th September 2017, 2:21 PM
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CBSE - IX - Mathematics - Polynomials

If (x - 2) is a factor of the polynomial x3 - 2ax2 + ax - 1, find the value of 'a'.

Asked by Topperlearning User 14th September 2017, 2:19 PM
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CBSE - IX - Mathematics - Polynomials

  In the following problem use the factor theorem to find if g(x) is a factor of p(x): p(x) = x3 + x2 + 3x + 175 and g(x) = x + 5

Asked by Topperlearning User 14th September 2017, 2:17 PM
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CBSE - IX - Mathematics - Polynomials

If (x - 2) is a factor of the polynomial x3 + ax2 + bx + 6 and when divided by (x - 3), it leaves remainder 3. Find the values of a and b.

Asked by Topperlearning User 14th September 2017, 1:52 PM
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CBSE - IX - Mathematics - Polynomials

  In the following problem, use the factor theorem to find if g(x) = x - 2 is a factor of p(x) = x3 - 3x2 + 4x - 4.

Asked by Topperlearning User 14th September 2017, 1:43 PM
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CBSE - IX - Mathematics - Polynomials

Show that (x - 2) is a factor of the Polynomial f(x) = 2x3 - 3x2 - 17x + 30 and hence factorize f(x).

Asked by Topperlearning User 14th September 2017, 1:40 PM
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CBSE - IX - Mathematics - Polynomials

(x + 2) is one of the factors of the polynomial x3 + 13x2 + 32x + 20. Find its remaining factors.

Asked by Topperlearning User 14th September 2017, 1:39 PM
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CBSE - IX - Mathematics - Polynomials

Factorise 2x2 + 7x + 3 using factor theorem.

Asked by Topperlearning User 14th September 2017, 1:33 PM
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CBSE - IX - Mathematics - Polynomials

Given a polynomial p(x) = x2 - 5x + 4. (A) Find the value of the polynomial p(x) at x = 2 (B) Check whether x is a factor of p(x). (C) Factorise p(x).

Asked by Topperlearning User 14th September 2017, 1:31 PM
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CBSE - IX - Mathematics - Polynomials

 

If space both space left parenthesis straight x space minus space 2 right parenthesis space and space open parentheses straight x space minus space 1 half close parentheses space are space factors space of space px squared space plus space 5 straight x space plus space straight r comma space show space that space straight p space equals space straight r.

Asked by Topperlearning User 14th September 2017, 1:30 PM
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CBSE - IX - Mathematics - Polynomials

If x2 -  bx + c = (x + p) (x -  q) , then factorise x2  - bxy + cy2

Asked by Topperlearning User 12th September 2017, 12:18 PM
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CBSE - IX - Mathematics - Polynomials

Please tell the answer as fast as possible !

Asked by Sachin 9th September 2017, 3:44 PM
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CBSE - IX - Mathematics - Polynomials

Find the product of : (x - 1/x), ( x + 1/x) , ( x2 - 1/x2) and ( x4 + 1/x4) ?

Asked by Vikas 4th July 2017, 10:16 AM
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CBSE - IX - Mathematics - Polynomials

If a+b+ c = 12, a2 + b2 + c2 = 90, find the value of a3 + b3 + c3 - 3abc ?

Asked by Vikas 4th July 2017, 10:07 AM
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CBSE - IX - Mathematics - Polynomials

Factorise : x^2 + 1/x^2 + 2 - 2x – 2/x

Asked by gpnkumar0 12th September 2016, 4:38 PM
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CBSE - IX - Mathematics - Polynomials

FACTORISE (x+1)(x+2)(x+3)(x+4)-3

Asked by Anand 3rd September 2016, 10:44 PM
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CBSE - IX - Mathematics - Polynomials

respected sir/mam
i have not understood remainder theorem and factor theorem can you please explain me what is remainder theorem and factor theorem in easy language with an example.

Asked by rajivjoshigoldtech 1st September 2016, 3:22 PM
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CBSE - IX - Mathematics - Polynomials

if x sq.-bx+c=(x+p) (x-q) then factorise x sq.-bxy+cy sq.

Asked by eeshan.nk 23rd July 2016, 10:59 PM
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CBSE - IX - Mathematics - Polynomials

Factorize 9z cube - 27z square - 100z + 300, if it is given that (3z + 10) is a factor of it.

Asked by Virender 1st June 2016, 3:03 PM
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CBSE - IX - Mathematics - Polynomials

Factorise: 5(3x+y)whole square +6(3x+y)-8

Asked by Virender 31st May 2016, 6:21 PM
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CBSE - IX - Mathematics - Polynomials

If both (x - 2) and (2x - 1) are factors of ax2 + 5x + b, show that a - b = 0.

Asked by Topperlearning User 25th April 2016, 6:13 PM
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CBSE - IX - Mathematics - Polynomials

if (x/y) whole raise to the power 4 + (y/x) whole raise to the power 4 =47 then route of x/y +routeof y/x=?
 

Asked by Ashwnikumar 29th October 2015, 8:24 AM
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CBSE - IX - Mathematics - Polynomials

27x^3+24x^2+18x+1
and
343x^3-8y^3
 

Asked by bhargav72000 18th September 2015, 11:22 PM
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CBSE - IX - Mathematics - Polynomials

Find the value of 245 ÷ 5
 

Asked by Parul 14th September 2015, 3:39 PM
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CBSE - IX - Mathematics - Polynomials

difference between factor theroem and remainder theorem.

Asked by pahiroy1221 25th July 2015, 1:44 PM
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CBSE - IX - Mathematics - Polynomials

A polynomial P(x) with leading coefficient 1 of degree 4 is such that P(alpha symbol) = 0 and its roots are 1, 2 and 3. Then, value of P(0) + p(4) is

Asked by vatsalchoudhary41 13th December 2014, 6:30 AM
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CBSE - IX - Mathematics - Polynomials

factorize 2x^3-xy^2-y^3

Asked by narayan.cholkar 16th October 2014, 8:52 PM
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CBSE - IX - Mathematics - Polynomials

2x power 3-x power2-4x+3          pl give me factorisation of this equation

Asked by toy.jeet 22nd September 2014, 9:39 PM
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CBSE - IX - Mathematics - Polynomials

show that if a+b is not zero, then the equation a(x-a)=2ab-b(x-b) has a solution x = a+b
 
PLEASE ANSWER IN FULL STEPS.

Asked by harshmandlik 7th September 2014, 11:09 AM
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CBSE - IX - Mathematics - Polynomials

The polynomials x3 + 2x2 - 5ax - 8 and x3 + ax2 - 12x - 6 when divided by (x - 2) and (x - 3) leave remainder p and q respectively. If q - p = 10, find the value of a.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Polynomials

Find the value of a if (x + a) is a factor of x4 -a2x2 + 3x -a.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Polynomials

If (x-2) is a factor of the polynomial x3 + ax2 + b x + 6 and when divided by (x-3), it leaves remainder 3. Find the values of a and b.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Polynomials

Factorize:

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Polynomials

Without actual division prove that x4 + 2x3 - 2x2 + 2x -3 is exactly divisible by x2 + 2x - 3.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Polynomials

For what value of a if the polynomial 2x3 + ax2 + 11x + a + 3 is exactly divisible by 2x - 1.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Polynomials

Find the values of p and q if the polynomial is divisible by the polynomial

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Polynomials

Using factor theorem, show that (x + 1) is a factor of x19 + 1.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Polynomials

Find the value of a and b so that the polynomial x3 + 10x2 + ax + b has (x - 1) and (x + 2) as factors.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Polynomials

Using factor theorem, show that (2x + 1) is a factor of 2x3 + 3x2 - 11x - 6.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Polynomials

Factorize: .

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Polynomials

Factorise: x6 - 729.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Polynomials

Find the values of a and b so that (x + 1) and (x - 2) are factors of (x3 + ax2 + 2x + b).

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Polynomials

Using factor theorem, show that x2 + 5x + 6 is a factor of x4 + 5x3 + 9x2 + 15x + 18.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Polynomials

Check whether the polynomial t + 1 is a factor of 4t3 + 4t2 - t - 1.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Polynomials

Check whether (p + 1) is a factor of p100 - 1 and p101 - 1.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Polynomials

If (x - 2) is a factor of the polynomial x5 - 3x4 - ax3 + 3ax2 + 4, find the value of 'a'

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Polynomials

(a) if p(y) = 4 + 3y - y2 + 5y3, find p(2).(b) Check whether (y + 2) is a factor of p(y).(c) Find the remainder when p(y) is divided by .

Asked by Topperlearning User 22nd August 2012, 9:15 AM
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