Section 5'2 Factoring Trinomials

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Section 5.2Factoring Trinomials
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Using FOIL we find the product of two binomials.
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The two binomials represent the trinomial in
factored form.
Our job in this section is to rewrite simple
trinomials in factored form.
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Stare with the trinomial and pretend that you
have a factorization.
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Factoring a Trinomial
First list the factors of 24.
Check with Multiplication.
Now add the factors.
25
1 24
2 12
14
3 8
11
10
4 6
Notice that 4 and 6 sum to the middle term.
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Factor
First list the factors of 56.
Check with Multiplication.
Now add the factors.
57
1 56
2 28
30
4 19
23
15
7 8
Notice that 7 and 8 sum to the middle term.
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Factor
First list the factors of 24.
Check with Multiplication.
Now add the factors.
25
1 24
2 12
14
3 8
11
10
4 6
Notice that 2 and 12 sum to the middle term.
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Factor
First list the factors of 5.
Check with Multiplication.
Now subtract the factors.
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1 5
Notice that 1 and 5 have a difference of the
middle term.
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Homework5.2Page 3131- 83Odd