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Factoring trinomials with gcfs

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This document discusses factoring trinomials that have a greatest common factor (GCF). It explains that you must first find the GCF and divide each term by it before factoring the trinomial. It provides the examples of 10x^2+5x-15 and 9x^2-42x+24, showing that the GCF of the first is 5 and the second is 3, and demonstrating how to factor each fully after dividing out the GCF.

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Factoring with multiple steps Some trinomials have a GCF you must factor out before you factor the problem. Divide this value out first, then factor the trinomial.
Try these. Find the GCF first, then factor 10x族+5x-15 9x族-42x+24
10x族+5x-15 The GCF is 5. Divide it out of each term. 5(2x族+x-3) Factor what it inside the parenthesis. Either method works. Write your factored answer with your GCF in the front. 5(2x+3)(x-1)
9x族-42x+24 The GCF is 3. Divide it out of each term. 3(3x族-14x+8) Factor what it inside the parenthesis. Either method works.

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Factoring trinomials with gcfs

  • 1. Factoring with multiple steps Some trinomials have a GCF you must factor out before you factor the problem. Divide this value out first, then factor the trinomial.
  • 2. Try these. Find the GCF first, then factor 10x族+5x-15 9x族-42x+24
  • 3. 10x族+5x-15 The GCF is 5. Divide it out of each term. 5(2x族+x-3) Factor what it inside the parenthesis. Either method works. Write your factored answer with your GCF in the front. 5(2x+3)(x-1)
  • 4. 9x族-42x+24 The GCF is 3. Divide it out of each term. 3(3x族-14x+8) Factor what it inside the parenthesis. Either method works.