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MULTIPLYING POLYNOMIALS:FOILLesson 10-3
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MULTIPLYING POLYNOMIALS
When multiplying two BINOMIALS…
…we multiply by “FOIL”First termsOuter termsInner termsLast terms
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MULTIPLYING POLYNOMIALS
(2x + 1) (x – 5)
FOIL = distribution, combine like terms
2x – 10x + 1x -5
2x – 9x -5
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MULTIPLYING POLYNOMIALS
(3x – 5) (2x + 7)
6x² + 21x – 10x – 35
6x² + 11x – 35
(x – 7) (3x + 1)
3x² + x – 21x – 7
3x² – 20x - 7
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MULTIPLYING POLYNOMIALS
Special products:(x – 5) (x + 5)
x² + 5x – 5x – 25
x² – 25
Special products:(2x – 8) (2x +
8)
4x² + 16x – 16x – 64
4x² – 64
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MULTIPLYING POLYNOMIALS
When multiplying a trinomial & binomial…… distribution and combine like terms
(3x² + x – 6) (2x – 3) (2x – 3) (3x² + x – 6)
6x³ + 2x² – 12x - 9x² - 3x + 18
6x³ - 7x² – 15x + 18
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MULTIPLYING POLYNOMIALS
Find the product:
(3a + 4) (5a² + 2a – 3)
15a³ + 6a² - 9a + 20a² + 8a – 12
15a³ + 26a² - a - 12
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PRACTICE
a) (x + 2) (x + 5)
b) (2x – 1) (x + 2)
c) (a – 6) (a + 6)
d) (f² - 3f) (f² + 6f – 4)
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HOMEWORK
p. 478-479 #14-19, 23-29, 41-43