Add, Subtract, & Multiply Polynomials
Solve Polynomial Equations in Factored Form
Factor
Special Products
Factor Polynomials Completely
100

(9x + 6x3 - 8x2) + 

(-5x3 + 6x)

What is x3 - 8x2 + 15x

100

Solve the equation:

2a2 + 26a = 0

What is 0, -13

100

Factor the trinomial:

b2 - 5b - 14

What is (b - 7)(b + 2)

100

Find the product:

(6y + 1)2

What is 

36y2 + 12y + 1

100

Factor the polynomial completely:

a3 + 6a - 5a2 - 30

What is 

(a2 + 6)(a - 5)

200

(3n2 - 4n + 1) - 

(8n2 - 4n + 17)

What is -5n2 - 16

200

Solve the equation:

3t2 - 33t = 0

What is 0, 11

200

Factor the trinomial:

x2 + 4x - 32

What is (x + 8)(x - 4)

200

Find the product:

(2x - y)2

What is 

4x2 - 4xy + y2

200

Factor the polynomial completely:

y2 + 3y + yx + 3x 

What is 

(+ 3)(y + x)

300

(-k2 + 7k + 5) - 

(2k4 - 3k3 - 6)

What is 

-2k4 + 3k3 - k2 + 7k + 11

300

Solve the equation:

m2 = 9m

What is 0, 9

300

Solve the equation:

7x2 - 8x = -1

What is 1/7, 1

300

Find the product:

(3s + 5)(3s - 5)

What is 

9s2 - 25

300

Factor the polynomial completely:

x3 - 11x2 - x + 11

What is 

(x - 11)(x - 1)(x + 1)

400

(2a - 1)(a - 3)

What is 2a2 - 7a + 3

400

Solve the equation:

5y2 = -50y

What is 0, -10

400

Solve the equation:

9a2 = 6a + 24

What is -4/3, 2

400

Factor the polynomial:

16p2 - 8p + 1

What is 

(4p - 1)2

400

Factor the polynomial completely:

2z3 + 2z2 - 60z

What is 

2z(z + 6)(z - 5)

500

(5b2 - b - 7)(b + 6)

What is 

5b3 + 29b2 - 13- 42

500

Solve the equation:

21h2 = 7h

What is 0, 1/3

500

The length of a rectangle is 1 inch less than twice the width. The area of the rectangle is 21 square inches. What is the length of the rectangle? 

What is 6 inches

500

You drop a penny from a height of 16 feet. After how many seconds does the penny land on the ground? Use the vertical motion model 

h = -16t2 + vt + s

What is 1 second

500

Factor the polynomial completely:

2b3 + 3b2 - 8b - 12

What is 

(2b + 3)(b - 2)(b + 2)

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