MAP4C
2.7 & 2.8 Factoring
Perfect Square Trinomials
Expand the binomial using F.O.I.L.:
Factoring is the opposite operation of expanding. When we factor perfect square trinomials, we
end up with a binomial term similar to the example above.
Perfect square trinomials are of the general form:
How can we identify perfect square trinomials?
Example 1:
Factor the following perfect square trinomials. Check by expanding.
a)
b)
c)
d)
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Factoring Difference of Squares Polynomial Expressions
Expand the pair of binomials using F.O.I.L.:
=
Factoring is the opposite operation of expanding. When we factor difference of squares
polynomials, we end up with a binomial term similar to the example above.
Difference of squares polynomials are of the general form:
How can we identify difference of squares polynomials?
Example 2:
Factor the following binomials using the difference of squares method.
Check by expanding.
a)
b)
c)
c)
d)
e)
Homework: Text pg. 132, #4, 5, 10. pg. 138, #13, 14.
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