Factoring & Simplifying Expressions

Classify Polynomials

100

3x²+1

Quadratic Binomial

200

7n

Linear Monomial

300

7x³+3x - 1

Cubic Trinomial

400

7x⁴ - 6x² + 8x - 6

Quartic Polynomial

500

6x^-7+5

Not A Polynomial

Operations of Polynomials

100

(5a² - 3) + (8a² - 1)

13a² - 4

200

(6x² + 3x +9) - (-x² + 3x - 5)

7x² + 14

300

(3x² - 8) - (4x³ + x² - 15x + 2)

-4x³ + 2x² + 15 x - 10

400

(4y - 3)(y² + 8y - 6) 

4y³ + 29y² - 48y + 18

500

-3x²(x + 11) - (4x - 5)( 3x - 2) 

-3x³ - 45x² + 23 x -10

Factoring

100

Factor

3x² - 6x

3x ( x - 2) 

200

Factor

a⁴b² - a²b

a²b (a²b - 1) 

300

Factor 

15a³b² - 30a²b³ + 5ab

5ab(3a²b - 6ab² + 1)

400

Factor

-2x² + 18x - 40

-2(x - 5)(x - 4) 

500

Factor

4x² - 81y²

(2x - 9y)(2x + 9y)

Solving By Factoring

100

Solve

(x + 3)(2x - 1) = 0

x = -3 x = 1/2

200

Solve

-42z² = 14z

z = 0, z = -1/3

300

Solve

x² + 5x = 50

x = -10 and x = 5

400

Solve 

8x² - 2x = 3

x = -1/2, x = 3/4

500

h = -16t² + vt + s

Sam drops a ball from 11 feet above the ground.  After how many seconds does it hit the ground?

t = 11/16 or 0.69 seconds

All of the Above

100

GCF of 25 and 30

What is 5

200

Simplify 

( 3x - 7)(3x + 7)

9x² - 49

300

Solve

x² - 7x +12 = 0

x = 3 and x = 4

400

The length of a rectangle is 5 less than three times the the width. Write and simplify a polynomial to represent the perimeter.

8w - 10

500

.           h = -16t² + vt + s

Sam tosses the ball up from 9 feet above the ground into the air with an initial velocity of 11 feet per second.  After how many seconds does it land 4 ft from the ground?

1 second