binomial x binomial the problems will look like this: (x 4)(x + 9)

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Binomial X Binomial Use the FOIL Method to find the product of two binomials.

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Binomial X Binomial

The problems will look like this:

(x – 4)(x + 9)

Binomial X Binomial

Use the FOIL Method to find the product

of two binomials.

Page 4: Binomial X Binomial The problems will look like this: (x 4)(x + 9)

FOILF O I L ir St

(x – 4)(x + 9)x2

Page 5: Binomial X Binomial The problems will look like this: (x 4)(x + 9)

FOIL F O I L

uts

i d e

(x – 4)(x + 9)x2 + 9x

Page 6: Binomial X Binomial The problems will look like this: (x 4)(x + 9)

FOIL

F O I L n s i d e

(x – 4)(x + 9)x2 + 9x – 4x

Page 7: Binomial X Binomial The problems will look like this: (x 4)(x + 9)

FOILF O I L a s t(x – 4)(x + 9)

x2 + 9x – 4x - 36

Page 8: Binomial X Binomial The problems will look like this: (x 4)(x + 9)

FOILx2 + 9x – 4x - 36

This is your answer, however,do you notice anything you can

do to simplify this answer?

Page 9: Binomial X Binomial The problems will look like this: (x 4)(x + 9)

FOILx2 + 9x – 4x - 36

COMBINE LIKE TERMS!

x2 + 5x - 36

Page 10: Binomial X Binomial The problems will look like this: (x 4)(x + 9)

PRACTICE1. (3m + 11)(5m – 2)

15m2 – 6m + 55m - 2215m2 + 49m – 22

2. (4x2 – 3)(2x2 – 5)8x4 – 20x2

- 6x2 + 15 8x4 – 26x2 + 15

Page 11: Binomial X Binomial The problems will look like this: (x 4)(x + 9)

PRACTICE3. (3a – 4b)(5a + 2b)

15a2 + 6ab - 20ab – 8b2

15a2 - 14ab – 8b2

Page 12: Binomial X Binomial The problems will look like this: (x 4)(x + 9)

PRACTICE4. (1/2x – 4)(2/4x + 2)

1/4x2 + 1x - 2x - 8

1/4x2 – 1x – 8

Page 13: Binomial X Binomial The problems will look like this: (x 4)(x + 9)

PRACTICE5. (4x2 – 3)(6x – 8)

24x3 – 32x2 – 18x + 24

*No like terms to combine!

Page 14: Binomial X Binomial The problems will look like this: (x 4)(x + 9)

BINOMIAL X TRINOMIAL

Use the distributive property tomultiply:

(2y + 5)(3y2 – 8y + 7)

Page 15: Binomial X Binomial The problems will look like this: (x 4)(x + 9)

BINOMIAL X TRINOMIAL

(2y + 5)(3y2 – 8y + 7)6y3 - 16y2 + 14y

15y2 - 40y + 35____________________________

6y3 – 1y2 - 26y + 35

Page 16: Binomial X Binomial The problems will look like this: (x 4)(x + 9)

PRACTICE

6. (2x + 3)(x2 + 3x + 8)

2x3 + 6x2 + 16x 3x2 + 9x + 24

2x3 + 9x2 + 25x + 24

Page 17: Binomial X Binomial The problems will look like this: (x 4)(x + 9)

PRACTICE7. (2b2 – 3)(3b3 – 2b + 3)

6b5 – 4b3 + 6b2

- 9b3 + 6b - 9

6b5 – 13b3 + 6b2 + 6b – 9

Page 18: Binomial X Binomial The problems will look like this: (x 4)(x + 9)

PRACTICE8. (2x + 4)(7x2 - 10x + 8)

7x2 - 10x + 8(x) 2x + 4

28x2 – 40x + 3214x3 – 20x2 + 16x_____ 14x3 + 8x2 – 24x + 32

Page 19: Binomial X Binomial The problems will look like this: (x 4)(x + 9)

PRACTICE9. (x3 + 4x – 5)(3x2 – 7x + 2)

3x5 – 7x4 + 2x3

12x3 – 28x2 + 8x - 15x2 + 35x - 10

3x5 – 7x4 + 14x3 – 43x2 + 43x – 10

Page 20: Binomial X Binomial The problems will look like this: (x 4)(x + 9)

Binomial Squared

(3x – 2)2

Page 21: Binomial X Binomial The problems will look like this: (x 4)(x + 9)

PRACTICE10. (4x2 – 10x – 3)(2x2 + 6x – 9)

4x2 – 10x – 3(x) 2x2 + 6x – 9

-36x2 + 90x + 27 24x3 – 60x2 –18x8x4 –20x3 - 6x2____________ 8x4 + 4x3 – 102x2 + 72x + 27

Page 22: Binomial X Binomial The problems will look like this: (x 4)(x + 9)

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