Factorization Of Polynomials Using Factor Theorem Factor 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 Theorem, p(x) = (x – a) q(x) + p(a). (i) If p(a) = 0, then p(x) = (x – a) q(x), which shows that x – a is a factor of … [Read more...] about Factorization Of Polynomials Using Factor Theorem

# Factorization

## How To Factorise A Polynomial By Splitting The Middle Term

Factorise A Polynomial By Splitting The Middle Term Example Problems With Solutions Type 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 = c. (ii) After finding p and q, we split the middle term in the quadratic as px + qx and get desired factors by grouping … [Read more...] about How To Factorise A Polynomial By Splitting The Middle Term

## Factorization – ICSE Solutions for Class 10 Mathematics

Factorization – ICSE Solutions for Class 10 Mathematics ICSE 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 Mathematics Class 10 Solutions Pdf. You can download the Class 10 Maths ICSE Textbook Solutions with Free PDF download … [Read more...] about Factorization – ICSE Solutions for Class 10 Mathematics

## Factorization Of Algebraic Expressions

Factorization Of Algebraic Expressions Of The Form a3 + b3 + c3, When a + b + c = 0 Example 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 ⇒ (x – y)3 + (y – z)3 + (z – x)3 = 3 (x–y)(y – z)(z–x)Example 2: Factorize (a2–b2)3 + (b2–c2)3+ … [Read more...] about Factorization Of Algebraic Expressions

## What Are The Types Of Factorization

Types Of Factorization Example Problems With Solutions Type 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: Factorization by grouping the terms. Example 2: Factorize the following expression a2 – b + ab – a Solution: … [Read more...] about What Are The Types Of Factorization