Polynomials Worksheet Page 7
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10Method 3:
F O I L
FOIL is an algorithm…mathematical process…that stands for:
F = First…multiply the first terms in each binomial
O = Outside…multiply the outside terms in each binomial
I = Inside…multiply the inside terms in each binomial
L = Last…multiply the last terms in each binomial.
(
)(
)
Given:
−
2
x
+
1
−
x
+
2
2
F:
-2x(-x)= 2x
O:
-2x(2) = -4x
I:
1(-x) = -x
L:
1(2) = 2
Simplify by writing in standard form and combining like terms.
2
2
x
− x
5
+
2
Exercises:
Multiply. Write your answers in standard form.
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)
( )
2
2
y
−
5
y
−
4
y
+
1
14.
(
)
(
)
2
3
15.
2
xyz −
4
x
yz
(
)
3
2
16.
−
4
x
x
+
8
x
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