Name
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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