Multiplying Polynomials Honors Math – Grade 8. KEY CONCEPT FOIL Method To multiply two binomials,...
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Transcript of Multiplying Polynomials Honors Math – Grade 8. KEY CONCEPT FOIL Method To multiply two binomials,...
Multiplying Polynomials
Honors Math – Grade 8
KEY CONCEPT FOIL Method
To multiply two binomials, find the sum of the products of
F the FIRST terms
O the OUTER terms
I the INNER terms
L the LAST terms
)4)(7( ggF
OI
LProduct of First Terms
Product of Outer Terms
Product of Inner Terms
Product of Last Terms
gg 4g g7 47 2g g4 g7 28+ + +
28112 gg
)7)(5( cc
)7)(5( cc =
Fcc
O
7cI
c 5L
75 2c c7 c5 35FOIL Method
Multiply
Combine like terms
Recall the FOIL definition – the sum of the products. Positive = addition, negative = subtraction
3522 cc
c2
)12)(6( zz
)12)(6( zz =
Fzz
O
12zI
z 6L
126 2z z12 z6 72FOIL Method
Multiply
Combine like terms
Recall the FOIL definition – the sum of the products. Positive = addition, negative = subtraction
72182 zz
z18
)23)(54( aa
)23)(54( aa =
F
aa 34 O
24 aI
a35L
25
212a a8 a15 10FOIL Method
Multiply
Combine like terms
Recall the FOIL definition – the sum of the products. Positive = addition, negative = subtraction
10712 2 aa
a7
)82)(45( dd
)82)(45( dd =
F
dd 25 O
85 dI
d24 L
84 210d d40 d8 32FOIL Method
Multiply
Combine like terms
Recall the FOIL definition – the sum of the products. Positive = addition, negative = subtraction
324810 2 dd
d48
)352)(94( 2 xxxUse the “Tabular Method.” (BOX)
Add on diagonals.
)352)(94( 2 xxxWrite in column form.
94)(352 2
xxx
Multiply with the “ones column” first.
27x45218xMultiply with the “tens column” next.
Align like terms under each other.
x12220x38x+
Add the products
27x3322x38x
273328 23 xxx
)112)(43( 2 aaaWrite in column form.
43)(1122
aaa
Multiply with the “ones column” first.
4a4824aMultiply with the “tens column” next.
Align like terms under each other.
a3236a33a+
Add the products
4a45232a33a
445323 23 aaa
)136)(52( 22 yyyy
Use the “Tabular Method.” (BOX)Add on diagonals.
)136)(52( 22 yyyyWrite in column form.
136)(52
2
2
yyyy
Multiply with the “ones column” first.
5y22yMultiply with the “tens column” next.
Align like terms under each other.
y1526y230y+
Add the products
5y17
33y46y
51737156 234 yyyy
312y237y315y46y
Multiply with the “hundreds” next.
)13)(972( 22 bbbbWrite in column form.
13)(972
2
2
bbbb
Multiply with the “ones column” first.
9b722bMultiply with the “tens column” next.
Align like terms under each other.
b27221b29b+
Add the products
9b20
36b42b
92028132 234 bbbb
37b228b313b42b
Multiply with the “hundreds” next.
