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.
FOILF O I L ir St
(x – 4)(x + 9)x2
FOIL F O I L
uts
i d e
(x – 4)(x + 9)x2 + 9x
FOIL
F O I L n s i d e
(x – 4)(x + 9)x2 + 9x – 4x
FOILF O I L a s t(x – 4)(x + 9)
x2 + 9x – 4x - 36
FOILx2 + 9x – 4x - 36
This is your answer, however,do you notice anything you can
do to simplify this answer?
FOILx2 + 9x – 4x - 36
COMBINE LIKE TERMS!
x2 + 5x - 36
PRACTICE1. (3m + 11)(5m – 2)
15m2 – 6m + 55m - 2215m2 + 49m – 22
2. (4x2 – 3)(2x2 – 5)8x4 – 20x2
- 6x2 + 15 8x4 – 26x2 + 15
PRACTICE3. (3a – 4b)(5a + 2b)
15a2 + 6ab - 20ab – 8b2
15a2 - 14ab – 8b2
PRACTICE4. (1/2x – 4)(2/4x + 2)
1/4x2 + 1x - 2x - 8
1/4x2 – 1x – 8
PRACTICE5. (4x2 – 3)(6x – 8)
24x3 – 32x2 – 18x + 24
*No like terms to combine!
BINOMIAL X TRINOMIAL
Use the distributive property tomultiply:
(2y + 5)(3y2 – 8y + 7)
BINOMIAL X TRINOMIAL
(2y + 5)(3y2 – 8y + 7)6y3 - 16y2 + 14y
15y2 - 40y + 35____________________________
6y3 – 1y2 - 26y + 35
PRACTICE
6. (2x + 3)(x2 + 3x + 8)
2x3 + 6x2 + 16x 3x2 + 9x + 24
2x3 + 9x2 + 25x + 24
PRACTICE7. (2b2 – 3)(3b3 – 2b + 3)
6b5 – 4b3 + 6b2
- 9b3 + 6b - 9
6b5 – 13b3 + 6b2 + 6b – 9
PRACTICE8. (2x + 4)(7x2 - 10x + 8)
7x2 - 10x + 8(x) 2x + 4
28x2 – 40x + 3214x3 – 20x2 + 16x_____ 14x3 + 8x2 – 24x + 32
PRACTICE9. (x3 + 4x – 5)(3x2 – 7x + 2)
3x5 – 7x4 + 2x3
12x3 – 28x2 + 8x - 15x2 + 35x - 10
3x5 – 7x4 + 14x3 – 43x2 + 43x – 10
Binomial Squared
(3x – 2)2
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