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 Of Polynomials

## 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