Review: Factoring Quadratic Functions
Basic Factoring
Factor each of the trinomials completely. If the expression cannot be
factored, write “prime.”
2
1.
2.
x +13x + 42
x 2 − 4 x − 32
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3.
x 2 − 8x + 3
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4.
x 2 + 7x + 3
6.
x 2 + 8x − 9
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5.
x 2 −13x − 48
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Difference of Perfect Squares
Factor each binomial expression. If the expression cannot be factored,
write “prime.” Remember to look for a GCF first!
2
1.
2.
x − 64
x 2 + 36
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3.
25x 2 −1
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49x 2 −16
6.
3x 2 +12
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5.
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4.
2x 2 − 200
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Greatest Common Factor
Factor each of the trinomials completely. Remember to factor out any
GCF first!
2
1.
2.
−x + 8x − 7
x 5 + 9x 4 − 22x 3
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3.
3x 2 y +18xy + 24 y
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Solving Quadratic Functions
Solve each function by factoring (and setting the equation equal to
zero).
2
1.
2.
3x − 9x + 6
2x 3 +14 x 2 + 24 x
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3.
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x 2 +12x − 46 = 15x − 36