A2.2 Polynomials

Combining Like Terms

100

Simplify the following expression: 

x² + 3x + 5x =

x² +8x

200

Simplify the following expression: 

x² + 3x + 5x +3 - 5=

x² +8x-2

300

Simplify and then state how many terms does the following expression have?

3x² + x² + 5x - x + 3

4x² + 4x+3 

There are 3 terms.

400

Simplify 3x(x+5)

3x² +15x

Features of a Graph

100

What is the maximum height of the softball? 

~50 ft

200

What time in seconds does the ball hit the ground?

~3.5 seconds

300

What time does the softball reach it's maximum height?

~1.7 seconds

400

What are the zeros or roots of this function?

x = 0 and x = 3.5

Distributive Property

100

Simplify the following expression: 

2(x+5)

2x + 10

200

Simplify the following expression:

(x+2)(x-16)

x² - 14x - 32 

(x² -16x + 2x -32 acceptable answer as well)

300

Simplify the following expression:

(x² + 1)(x+2)

x³ + 2x² + x + 2

400

Simplify the following expression:

(x-1)(x² + 2x +1)

x³ +x² - x -1

Roots and Zeros

100

Which best describes the definition of roots/zeros? 

c. the x intercepts (x =0)

200

Quadratic functions can have how many zeros/roots?

0, 1, or 2 zeros/roots 

300

Select ALL the solutions to the equation

(2x-4)(x+5) = 0

x =2 and x=-5

400

Find a solution to the following equation (bonus points if you can find both)

y = (x-2)(x+3)

x = 2 or x =-3