CBSE · Class 6-12

Back to Polynomials

Class 10 · Mathematics (Standard) · Unit 2: Polynomials

Strategy: Splitting the Middle Term

Lesson 6 of 6

To factor

ax^2 + bx + c

, find two numbers

m, n

with

m+n = b

and

mn = ac

. Rewrite

bx

as

mx + nx

and factor by grouping. E.g. for

6x^2 + 11x + 3

: need product

18

, sum

11

; pick

9,2

:

6x^2 + 9x + 2x + 3 = 3x(2x+3)+(2x+3) = (2x+3)(3x+1)

.

Cubic Polynomial Relations

Try the practice skills

All lessons in this unit