Factoring polynomials: ax^2 + bx + c

All You Need in One Place

Everything you need for Year 6 maths and science through to Year 13 and beyond.

Learn with Confidence

We’ve mastered the national curriculum to help you secure merit and excellence marks.

Unlimited Help

The best tips, tricks, walkthroughs, and practice questions available.

  1. Overview of factoring polynomials with a coefficient in front of x2x^2
  1. Factor the following:
    1. 9x2+3x−2{9x^2+3x-2}
    2. 21x2−41x+10{21x^2-41x+10}
    3. 8x2+x−9{8x^2+x-9}
    4. 15x2−16x−15{15x^2-16x-15}
  2. Factor with common factoring first
    1. −36x2−96xy−64y2{-36x^2-96xy-64y^2}
    2. −3a2(b+1)2−2a(b+1)2+5(b+1)2{-3a^2(b+1)^2-2a(b+1)^2+5(b+1)^2}
  3. Factor with unusual exponents
    1. −6x8a+17x4ay4b−10y8b{-6x^{8a}+17x^{4a}y^{4b}-10y^{8b}}
Topic Notes
Before starting this lesson, check your understanding on how to factor x2+bx+c{x^2 + bx + c}
we talked about in the other lesson first. The coefficient, a, in front of x2{x^2}
can make it a bit more challenging, but we will show you the tricks to make it easy!