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9.6 Worksheet Name _________________________________ Factoring Polynomials: ax2 + bx + c Date ___________________ Hour ______

EXAMPLE 1

Factor 5n2 – 12n + 7.

Step 1: Factor out the GCF

Step 2: Make T-Chart Step 3: Use Box Method & Factor Out GCF

a · c = 5 · 7 = 35 Sum of Factors n –1

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|5n2 |–5n |

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|–7n |7 |

35, 1 35 + 1 = 36 5n

5, 7 5 + 7 = 12

-5, -7 -5 + -7 = –12 ☺

–7

5n2 – 12n + 7 = (n – 1)(5n – 7)

Factor the trinomial.

1. –x2 – 2x + 15 2. 6x2 – 13x + 2

GCF: ________ a = b = c = GCF: ________ a = b = c =

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Factored Form: _________________ Factored Form: ________________

3. 2x2 + 9x – 5 4. 2w2 + 7w + 3

GCF: ________ a = b = c = GCF: ________ a = b = c =

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Factored Form: _________________ Factored Form: ________________

Factor the trinomial (continued)

5. 3y2 + 5y + 2 6. 2b2 + b – 1

GCF: ________ a = b = c = GCF: ________ a = b = c =

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Factored Form: _________________ Factored Form: ________________

7. 3n2 – 3n – 6 8. 5a2 + 13a – 6

GCF: ________ a = b = c = GCF: ________ a = b = c =

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Factored Form: _________________ Factored Form: ________________

9. 4b2 + 2b – 2 10. 3x2 + 11x + 10

GCF: ________ a = b = c = GCF: ________ a = b = c =

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Factored Form: _________________ Factored Form: ________________

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