Unit 5 TestPolynomials

Review

Algebra I

1. Find the degree of a monomial:

a) 2

b) 4

c) 6

d) 7

2a2b4

c

2. Find the degree of a polynomial:

a) 2

b) 8

c) 16

d) 24

2a3b5 + 3a2b6c8

3. Find the Sum:

a)3x2 – 2x + 1b) X3 + 2x2 – 2x + 1c)3x2 – 2x + 3d) X3 + 2x2 – 3

(3x – 1 + 2x2) + (x3 – 5x + 2)

4. Find the Difference:

a) x2 – 9x + 6

b) x2 – 9x – 6

c) x2 – x + 6

d) x2 – x – 6

(x2 – 5x) – (4x – 6)

5. The length of a picture is 4 times the width. A picture frame has been added that measures 5 inches thick on each

side. *What is the area of the picture? *The area of the picture and frame? *The area of only the picture frame?

w4w

W + 10

4w + 10

*A = l x wA = 4w(w)A = 4w2

A = l x wA = (4w + 10)(w + 10)A = 4w2 + 40w + 10w + 100A = 4w2 + 50w + 1004w2 + 50w + 100 -

4w2

50w + 100

6. Find the product:

(x – 3)(x – 8)

x2 – 11 x + 24

7. Which expression

represents the area of the rectangle?

8. Simplify:

(x + 8)2

x2 + 16 x + 64

9. Simplify:

-2x2(x2 – 3x + 2)

-2x4 + 6x3 – 4x2

10. Simplify:(3x – 4)(3x + 4)

9x2 – 16

11. Simplify:

(2y + 1)(y2 + 3y – 5)

2y3 + 7y2 – 7y – 5

12. Make sure you can factor X2 + bx + c and ax2 + bx + c as well as

factor the GCF.

GOOD LUCK!!!