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Section 8.7 - Multiplying Polynomials
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Section 8.7 - Multiplying Polynomials
-Review: 3x(2x-11) = 6x^2 -33k
Solve using FOIL: (3x-7)(2x+8)
F
irst
O
utside
I
nside
L
ast
To solve, do 3x(2x+8) and -7(2x+8)
Answer: 6x^2 +10^x -56
**When Multiplying Binomials, multiply each term in the first parentheses by every term in the other parentheses
Extra Problems:
1. (4a+2b)(b-2)
To solve using FOIL do: 4a(b-2) and 2b(b-2)
Answer: 4ab-8a+2b^2 -4b
2. (7-2m)(3m+5)
Do 7(3m+5) and -2m(3m+5)
Answer: -6m^2+11m+35
3. (5x-2y)(3x+y)
Do 5x(3x+y) and -2y(3x+y)
Answer: 15x^2 -xy-2y^2
4. (4a-3)(4a+3)
Do 4a(4a+3) and -3(4a+3)
5.(2x^2+y^3)(2x^2+y^3)
Answer: 4x^4+2x^2y^3+2x^2y^3+y^6
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-Review: 3x(2x-11) = 6x^2 -33k
Solve using FOIL: (3x-7)(2x+8)
First
Outside
Inside
Last
To solve, do 3x(2x+8) and -7(2x+8)
Answer: 6x^2 +10^x -56
**When Multiplying Binomials, multiply each term in the first parentheses by every term in the other parentheses
Extra Problems:
1. (4a+2b)(b-2)
To solve using FOIL do: 4a(b-2) and 2b(b-2)
Answer: 4ab-8a+2b^2 -4b
2. (7-2m)(3m+5)
Do 7(3m+5) and -2m(3m+5)
Answer: -6m^2+11m+35
3. (5x-2y)(3x+y)
Do 5x(3x+y) and -2y(3x+y)
Answer: 15x^2 -xy-2y^2
4. (4a-3)(4a+3)
Do 4a(4a+3) and -3(4a+3)
5.(2x^2+y^3)(2x^2+y^3)
Answer: 4x^4+2x^2y^3+2x^2y^3+y^6