Factoring Special Products

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Factoring Special Products
10.7
Goal 1 Recognize Special Products Goal 2
Factor special products using patterns.
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Recall what happens when you multiply the
following
(x 4)(x 4)
(x 3)2
The results are called ___________________________
_.
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(No Transcript)
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Factor the perfect square trinomial
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Factor the following trinomials
x2 5x 12
x2 6x 9
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Factor the following trinomials
x2 8x 16
4x2 12x 9
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Factor the trinomial
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Recall the product (x 2)(x 2)
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Factor the difference of two squares
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Factor the difference of two squares
9x2 25
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Factor the difference of two squares (dont
forget the GCF if there is one.)
8x2 32
9x2 36
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The sum of two cubes  has to be exactly in this
form to use this rule.
1. When you have the sum of two cubes, you have
a product of a binomial and a trinomial.
2. The binomial is the sum of the bases that
are being cubed.
3. The trinomial is the first base squared, the
second term is the opposite of the product of the
two bases found, and the third term is the second
base squared. 
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Factor the sum of cubes
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Factor the sum of cubes (GCF first, if needed)
5x3 40
27x3 8
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The difference of two cubes has to be exactly in
this form to use this rule.
1. When you have the difference of two cubes,
you have a product of a binomial and a trinomial.
2. The binomial is the difference of the bases
that are being cubed.
3. The trinomial is the first base squared, the
second term is the opposite of the product of the
two bases found, and the third term is the second
base squared.
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Factor the difference of cubes
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Factor
8x3 y3
54x3 81y3
Homework
p. 622, 18-60e, 63, 64
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Factoring Strategy I.  GCF Always check for the
GCF first, no matter what.
IV.  Polynomials with four terms factor by
grouping.