Name:
Date:
Period:
Classify each by degree and term.
3x2 – 1
5x3 - 2x2 + 8x - 9
4
Constant Monomial
Quadratic Binomial
Cubic Polynomial
6x4
Quartic Monomial
6x7 – 5x + 6
3x + 10
Linear Binomial
7th Degree Polynomial
Simplify each expression below. Write your answer in standard form.
1. (3p2 – 6) + (5p2 – 9p3)
2. (9n2 + 8n – 6n4) + (-7n2 + 10n – 5n4)
-9p3 + 8p2 – 6
-11n4 + 2n2 + 18n
3. (7x4 – 5x2 + 9x – 2) – (-3x3 + 6x2 – x + 8)
4. -4x4y2(3x2y + 6x3y8 – 9xy9)
7x4-11x2 + 10x – 10
-24x7y10 + 36x5y11- 12x6y3
5. 2x(3x3 – 5x + 7) – 4x(x2 + 3x – 6)
6. (2x + 7)(7x – 5)
6x4 – 4x3 – 22x2 + 14x + 24
14x2 + 39x - 35
7. (9x + 10)(9x – 10)
8. (x + 8)2
81x2 – 100
x2 + 16x + 64
9. (10x - 4)(5x3 - 2x + 6)
10.
50x4 – 20x3 – 20x2 + 68x - 24
3x3y6 – 2x2y3 + 6xy - 9
11. Allison has a rectangular garden. The length is two more than three times the
width. Write two expressions (in simplest form) that represent the perimeter
and area of the garden.
A = 3w2 + 2w
P = 8w + 4
12. 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 = 216x2 - 24
b. Find the volume of the box when x = 10.
V = 21,576 in
3
12 in
(3x + 1) in
(6x - 2) in