How do you factor x^4-2x^3+5x-10x42x3+5x10?

1 Answer
Feb 9, 2015

You can use a technique called factoring by grouping to factor this expression:

  1. x^4-2x^3+5x-10x42x3+5x10 Given
  2. (x^4-2x^3) + (5x-10)(x42x3)+(5x10) **Insert parenthesis **

This allows you to pair the terms with like factors and factor them.

  1. x^3(x-2) +5(x-2)x3(x2)+5(x2) Greatest Common Factor
  2. (x-2)(x^3+5)(x2)(x3+5) **Undo Distributive Property **