Polynomial Vocabulary
Simplifying Polynomials
Geometric Applications
Factoring Polynomials
Test Prep
100

Question 1

3a4 + 2a3 + a2 - 7a - 4

100

Question 7

x2 + 7x + 3

100

Question 17

4x3 - 3x+ 11x + 3

100

Question 19

9xy (6x2 - 2xy + 3y)

100

The expression below is equivalent to which?

3x(x - 1) - (3 - 6x)

A) 3x2 + 9x - 3

B) 3x2 + 3x - 3

C) 3x2 - 3x - 3

D) 3x2 - 9x - 3

B)  3x2 + 3x - 3

200

Question 2

2x3 - x2y - 3xy2 +8y3

200

Question 10

-26y2 + 24y

200

Question 18

x2 + 2x - 21

200

Question 20

9x2 - 49y2

200

Identify which polynomial(s) are prime:

A) x2 - 16

B) 2a - 7b

C) 4x2 + 9y2

D) 4x2 - 8

E) x+3x - 7

B, C, E

300

Question 3

linear binomial

300

Question 9

45c4d3 - 20c5d2 - 10c2d

300

A rectangle has side lengths of x - 3 and 2x + 8, what is the area?

2x2 + 2x - 24

300

Question 21

16y4 (2 + y) (2 - y)

OR

-16y4 (y - 2) (y + 2)

300

A swimming pool has a length of 6 and a width of 2x - 1.  A concrete walkway of equal width surrounds the pool.  The walkway has a length of 4x + 1 and a width of 2x + 3.  What is the area of the concrete walkway?

Area of Big - (Area of Small)

(4x+1)(2x+3) - [6(2x-1)]

8x2 + 2x + 9

400

Question 5

Quadratic Trinomial

400

Question 13

2x2 - xy - 15y2

400

The area of a square is 9x2 - 6x + 1, what is the length of the sides?

3x - 1
400

Question 24

3 (k - 15) (k - 4)

400

Which of the following is a factor of 6x2 - 5x - 4?

A) x + 3

B) 3x - 4

C) x - 8

D) 2x - 1

B)  3x - 4

500

Question 6

Quartic Polynomial

500
Question 15

-2x2 + 7x - 1

500

The length of a swimming pool is 2x + 3, if the area is 2x2 + x - 3, what is the width?

x - 1

500

Question 26

2 (2r + 5) (2r - 1)

500

If x + 1 is a factor of x2 + bx + 4, what is the value of b? 

5