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• CBSE×
• Class 9×
• Mathematics×
• Polynomials×
• Factorisation Factor Theorem×

# Factorisation Factor Theorem Free Doubts and Solutions

## Find what must be subtracted from 4y4+12y3+6y2+50y+26 so that obtained polynomial is exactly divisible by y2+4y+2

Asked by nisha_vini29 25th February 2019, 3:22 PM

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## Factorise : 2u3-3u2-17u+30

Asked by nisha_vini29 25th February 2019, 3:19 PM

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

Asked by kinalsp 20th June 2018, 9:13 PM

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## Factorise:  36q²+54q+20

Asked by riyamaths 28th March 2018, 6:13 PM

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

Asked by Topperlearning User 14th September 2017, 2:54 PM

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

Asked by Topperlearning User 14th September 2017, 2:51 PM

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## 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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## 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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## 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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## 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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## 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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## 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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## 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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## 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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## 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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## 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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## (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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## Three friends of a locality decided to start a business together. They decided to share their capitals depending upon a variable expenditure. The capital polynomial of the three partners together is x3 - 6x2 + 11x - 6, which is the product of their individual share factors. Find the actors. Are their capital shares same? Write the value depicted by this question.

Asked by Topperlearning User 14th September 2017, 1:37 PM

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

Asked by Topperlearning User 14th September 2017, 1:33 PM

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## 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

Asked by Topperlearning User 14th September 2017, 1:30 PM

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## 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

Asked by Sachin 9th September 2017, 3:44 PM

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## 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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## 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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## IF

Asked by Sunny 3rd June 2017, 12:03 PM

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

Asked by gpnkumar0 12th September 2016, 4:38 PM

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

Asked by Anand 3rd September 2016, 10:44 PM

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## 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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## how to solve

Asked by Rhythma 31st August 2016, 7:22 PM

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

Asked by Virender 31st May 2016, 6:21 PM

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## 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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## 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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## 27x^3+24x^2+18x+1 and 343x^3-8y^3

Asked by bhargav72000 18th September 2015, 11:22 PM

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## Find the value of 245 ÷ 5

Asked by Parul 14th September 2015, 3:39 PM

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## difference between factor theroem and remainder theorem.

Asked by pahiroy1221 25th July 2015, 1:44 PM

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

Asked by narayan.cholkar 16th October 2014, 8:52 PM

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## 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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## 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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## 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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## 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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## 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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## Factorize:

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## 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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## 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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## 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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## 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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## 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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## 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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## Factorize: .

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## Factorise: x6 - 729.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## 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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## 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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## 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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## 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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## 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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## (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