A Binomial times a Trinomial
2
3
13. (2x – 4)(3x
- 5x + 8)
14. (5x + 6)(4x
- 2x - 3)
3
2
4
3
2
6x
– 22x
+ 36x – 32
20x
+ 24x
– 10x
– 27x - 18
Find the Quotient: Write your answers in standard form.
12
−8
+24
−36
24
−30
+ 18
−6
3
8
2
5
3
2
4
3
2
4
6
2
16.
15.
3
6
2
3
3
2
3x
y
– 2x
y
+ 6xy – 9
4x
– 5x
+ 3x - 1
17. Allison has a rectangular garden. The length is four more than twice the
width. Write two expressions (in simplest form) that represent the perimeter
and area of the garden.
P = 2w + 2(2w + 4)
A = (2w + 4) w
2
P = 6w + 8
A = 2w
+ 4w
18. You have come up with a plan for building a wooden box to hold all of your
sports equipment as shown.
a. Write a polynomial expression (in simplest form) that represents the volume
of the box.
V = 24(3x + 6)(4x + 8)
V = (72x + 144)(4x + 8)
2
V = 288x
+ 1152x + 1152
b. Find the volume of the box when x = 10.
3
V = 41,472 in
24 in
(3x + 6) in
(4x + 8) in