5. 5x
Objective - To multiply binomials
mentally using FOIL.
Often the product
of two binomials = Trinomial
(x 3)(x 5)
=
x 3
x 5
15
3x
2
x
2
x 2x
15
Takes too long!
Quadratic
Term Linear
Term
Constant
Term
2
x 2x
15
6. For use with the product of binomials only!
(x 3)(x 5)
First Outer Inner Last
7. For use with the product of binomials only!
(x 3)(x 5)
First Outer Inner Last
8. For use with the product of binomials only!
(x 3)(x 5)
First Outer Inner Last
9. For use with the product of binomials only!
(x 3)(x 5)
First Outer Inner Last
10. For use with the product of binomials only!
(x 3)(x 5)
First Outer Inner Last
11. For use with the product of binomials only!
(x 3)(x 5)
First Outer Inner Last
2
x
12. For use with the product of binomials only!
(x 3)(x 5)
First Outer Inner Last
2
x 5x
13. For use with the product of binomials only!
(x 3)(x 5)
First Outer Inner Last
2
x 5x
3x
14. For use with the product of binomials only!
(x 3)(x 5)
First Outer Inner Last
2
x 5x
3x
15
15. For use with the product of binomials only!
(x 3)(x 5)
First Outer Inner Last
2
x 5x
3x
15
2
x 2x 15
16. Try...
(m 3)(m 6)
First Outer Inner Last
2
m 6m
3m
18
2
m 9m 18
17. Use FOIL to multiply the binomials below.
1)
2)
3)
4)
5)
6)
7)
8)
9)
10)
(y 7)(y 4)
(m 2)(m 8)
(x 6)(x 4)
(t 10)(t 6)
(x 4)(x 5)
(x 3)(x 8)
(y 7)(y 9)
(x 2)(x 11)
(2 m)(7 m)
(6 k)(4 k)
2
y 11y 28
2
m 10m 16
2
x 2x 24
2
t 4t 60
2
x 9x 20
2
x 5x 24
2
y 16y 63
2
x 9x 22
2
14 5m m
2
24 10k k