Factorisation of Polynomials

IMPORTANT

Factorisation of Polynomials: Overview

This topic covers concepts such as Factor Theorem, Factor Theorem as Particular Case of Remainder Theorem, Factorisation of Polynomials, Factorisation of Quadratic Polynomials by Method of Splitting the Middle Term, etc.

Important Questions on Factorisation of Polynomials

EASY
IMPORTANT

If a0,then find the factors of a2-27a.
 

MEDIUM
IMPORTANT

Factorise, b+c-ac+a-ba+b-c+8abc

MEDIUM
IMPORTANT

Factorise, a2-b2a+b+c2-a2c+a+b2-c2b+c

MEDIUM
IMPORTANT

Factorise, a4b2-c2+b4c2-a2+c4a2-b2

MEDIUM
IMPORTANT

Factorise, b2c2b2-c2+c2a2c2-a2+a2b2a2-b2

MEDIUM
IMPORTANT

Factorise, ab+c2+bc+a2+ca+b2-4abc

MEDIUM
IMPORTANT

Factorise, bcb3-c3+cac3-a3+aba3-b3

MEDIUM
IMPORTANT

If xy+yz+zx=0, then find xy3+yz3+zx3
 

EASY
IMPORTANT

If x3-kx2+4=x+1x-a2 be an identity, then find the value of k and a
 

MEDIUM
IMPORTANT

Factorise the following: 63x2-47x+53 

MEDIUM
IMPORTANT

Find the value of 103-53-53.

MEDIUM
IMPORTANT

If x-a is a factor of px=ax2+bx+c, then pa=0. Yes / No.

MEDIUM
IMPORTANT

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

EASY
IMPORTANT

If x+1 is a factor of x2-3ax+3a-7, then find the value of a.

MEDIUM
IMPORTANT

A factor of x3+16x2+79x+120 is

MEDIUM
IMPORTANT

x-a is a factor of px=ax2+bx+c. Which of the following is true?

EASY
IMPORTANT

The polynomial x2+2x+2 cannot be factored into a product of the first-degree polynomial.

EASY
IMPORTANT

If x-1 is a factor of the polynomial kx2+2x-5, then the value of k is

EASY
IMPORTANT

If x+1 is a factor of the polynomial 2x2+kx, then the value of k is:

MEDIUM
IMPORTANT

If a2 - 5a - 3 = 0 , find the value of a3 -  27a3