Factorization  – ICSE Solutions for Class 10 MathematicsICSE SolutionsSelina ICSE SolutionsGet ICSE Solutions for Class 10 Mathematics Chapter 9 Factorization for ICSE Board Examinations on APlusTopper.com. We provide step by step Solutions for ICSE Math…

Factorise A Polynomial By Splitting The Middle Term Example Problems With SolutionsType I: Factorization of Quadratic polynomials of the form x2 + bx + c. (i) In order to factorize x2 + bx + c we have to find numbers p and q such that p + q = b and pq = …

Types Of Factorization Example Problems With SolutionsType I: Factorization by taking out the common factors.  Example 1:    Factorize the following expression 2x2y + 6xy2 + 10x2y2 Solution:    2x2y + 6xy2 + 10x2y2 =2xy(x + 3y + 5xy) Type II: Factorizati…

Factorization Of Algebraic Expressions Of The Form a3 + b3 + c3, When a + b + c = 0Example 1:   Factorize (x – y)3 + (y – z)3 + (z – x)3 Solution:    Let x – y = a, y– z = b and z – x = c, then, a + b + c = x – y + y – z + z –x = 0 ∴ a3 + b3 + c3 = 3abc …

Factorization Of Polynomials Using Factor TheoremFactor Theorem:If p(x) is a polynomial of degree n  1 and a is any real number, then (i) x – a is a factor of p(x), if p(a) = 0, and (ii) p(a) = 0, if x – a is a factor of p(x). Proof: By the Remainder Th…