# Factorisation Factor Theorem Free Doubts and Solutions

### CBSE - IX - Mathematics - Polynomials

## Factorise: 36q²+54q+20

**riyamaths**28th March 2018, 6:13 PM

### 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?

**sohambhattacharjee28**2nd March 2018, 9:28 PM

### CBSE - IX - Mathematics - Polynomials

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

**1937812326538158**5th January 2018, 9:49 PM

### CBSE - IX - Mathematics - Polynomials

## Please solve question no 1 with proper explanation

**adityaahuja099**11th December 2017, 9:07 PM

### CBSE - IX - Mathematics - Polynomials

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

**Topperlearning User**14th September 2017, 2:54 PM

### CBSE - IX - Mathematics - Polynomials

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

**Topperlearning User**14th September 2017, 2:51 PM

### CBSE - IX - Mathematics - Polynomials

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

**Topperlearning User**14th September 2017, 2:50 PM

### CBSE - IX - Mathematics - Polynomials

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

**Topperlearning User**14th September 2017, 2:47 PM

### CBSE - IX - Mathematics - Polynomials

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

**Topperlearning User**14th September 2017, 2:43 PM

### CBSE - IX - Mathematics - Polynomials

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

**Topperlearning User**14th September 2017, 2:23 PM

### CBSE - IX - Mathematics - Polynomials

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

**Topperlearning User**14th September 2017, 2:21 PM

### CBSE - IX - Mathematics - Polynomials

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

**Topperlearning User**14th September 2017, 2:19 PM

### 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

**Topperlearning User**14th September 2017, 2:17 PM

### 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.

**Topperlearning User**14th September 2017, 1:52 PM

### 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.

**Topperlearning User**14th September 2017, 1:43 PM

### 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).

**Topperlearning User**14th September 2017, 1:40 PM

### CBSE - IX - Mathematics - Polynomials

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

**Topperlearning User**14th September 2017, 1:39 PM

### CBSE - IX - Mathematics - Polynomials

## 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.

**Topperlearning User**14th September 2017, 1:37 PM

### CBSE - IX - Mathematics - Polynomials

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

**Topperlearning User**14th September 2017, 1:33 PM

### 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).

**Topperlearning User**14th September 2017, 1:31 PM

### CBSE - IX - Mathematics - Polynomials

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

**Topperlearning User**12th September 2017, 12:18 PM

### CBSE - IX - Mathematics - Polynomials

##
Please tell the answer as fast as possible !

**Sachin**9th September 2017, 3:44 PM

### CBSE - IX - Mathematics - Polynomials

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

**Vikas**4th July 2017, 10:16 AM

### CBSE - IX - Mathematics - Polynomials

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

**Vikas**4th July 2017, 10:07 AM

### CBSE - IX - Mathematics - Polynomials

## <div>IF <img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=02d7815d112dbdf99b9a33bcb7be3824.png" alt="a x cubed space plus space b x to the power of 2 space end exponent space plus space x minus 6 space space H A S space x plus 2 space A S space A space F A C T O R space A N D space L E A V E S space A space R E M A I N D E R space 4 space W H E N space D I V I D E D space B Y space space x minus 2 space space F I N D space T H E space V A L U E space O F A space & space B space ? " align="middle" /></div>

**Sunny**3rd June 2017, 12:03 PM

### CBSE - IX - Mathematics - Polynomials

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

**gpnkumar0**12th September 2016, 4:38 PM

### CBSE - IX - Mathematics - Polynomials

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

**Anand**3rd September 2016, 10:44 PM

### 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.

**rajivjoshigoldtech**1st September 2016, 3:22 PM

### CBSE - IX - Mathematics - Polynomials

## <div>how to solve <img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=706c2cd634bf97466933ec8f47eea999.png" alt="square root of 5 space end root plus square root of 5" align="middle" /><img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=2abde235ad2dca6b461ad10e9824a9dd.png" alt="square root of 5 plus 2 square root of 5" align="middle" /> </div> <div> </div>

**Rhythma**31st August 2016, 7:22 PM

### CBSE - IX - Mathematics - Polynomials

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

**eeshan.nk**23rd July 2016, 10:59 PM

### CBSE - IX - Mathematics - Polynomials

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

**Virender**1st June 2016, 3:03 PM

### CBSE - IX - Mathematics - Polynomials

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

**Virender**31st May 2016, 6:21 PM

### CBSE - IX - Mathematics - Polynomials

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

**Topperlearning User**25th April 2016, 6:13 PM

### 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=?

**Ashwnikumar**29th October 2015, 8:24 AM

### CBSE - IX - Mathematics - Polynomials

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

**bhargav72000**18th September 2015, 11:22 PM

### CBSE - IX - Mathematics - Polynomials

## Find the value of 245 ÷ 5

**Parul**14th September 2015, 3:39 PM

### CBSE - IX - Mathematics - Polynomials

## <div><img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=eb2c75c7756f4a9dc59d9c576321c09c.png" alt="i f space f open parentheses x close parentheses equals open parentheses x minus a close parentheses open parentheses x minus c close parentheses plus 2 open parentheses x minus b close parentheses open parentheses x minus d close parentheses a n d space a l s o space a less than b less than c less than d f i n d space t h e space n a t u r e space o f space r o o t s" align="middle" /></div> <div> </div> <div> science:</div> <div>Q1. in a room it is best to place a room heater on the floor but an air conditioner near the ceiling. why?</div> <div> </div>

**badesraajay**3rd August 2015, 7:54 PM

### CBSE - IX - Mathematics - Polynomials

## difference between factor theroem and remainder theorem.

**pahiroy1221**25th July 2015, 1:44 PM

### 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

**vatsalchoudhary41**13th December 2014, 6:30 AM

### CBSE - IX - Mathematics - Polynomials

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

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

### CBSE - IX - Mathematics - Polynomials

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

**toy.jeet**22nd September 2014, 9:39 PM

### 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.

**harshmandlik**7th September 2014, 11:09 AM

### 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.

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Polynomials

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

**Topperlearning User**4th June 2014, 1:23 PM

### 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.

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Polynomials

## Factorize:

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Polynomials

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

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Polynomials

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

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Polynomials

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

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Polynomials

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

**Topperlearning User**4th June 2014, 1:23 PM

### 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.

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Polynomials

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

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Polynomials

## Factorize: .

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Polynomials

## Factorise: x6 - 729.

**Topperlearning User**4th June 2014, 1:23 PM

### 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).

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Polynomials

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

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Polynomials

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

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Polynomials

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

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Polynomials

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

**Topperlearning User**4th June 2014, 1:23 PM

### 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 .

**Topperlearning User**22nd August 2012, 9:15 AM