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

1 Answer
Kevin B.
Feb 9, 2015

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

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

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

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