Factoring
Solving
Polynomials
Vertex Form
Key Features
100

Factor x2+6x+8

(x+2)(x+4)

100

What does the term "zeros" refer to?

Solutions or x-intercepts

100

Find the product (x+3)(2x-7)

2x2-x-21

100

Given that the value of a=3 and the vertex is (3, -7), write the equation of the parabola in vertex form

y=3(x-3)2-7

100

What is the y-intercept of the quadratic function

f(x)=x2-16x-20

y-intercept= -20

200

What is the factored form of 6x+60?

6(x+10)

200

Find the zeros of f(x)=x2+3x-10

x=2, -5

200

Perform the given operation

(3x-1)(4x2-2x+5)

12x3-10x2+17x-5

200

The parent function f(x)=x2 was transformed to g(x) by performing a vertical stretch by 5 and a shift left by 1. 

Which function shows an accurate function for g(x)?

a. g(x)=5x2+1

b. g(x)=5(x+1)2

c. g(x)=(x+1)2+5

d. g(x)=-5(x+1)2

b.

200

What is the negative zero of y=-3x2-x+10

x= -2

300

Factor 6x2-x-7

(x+1)(6x-7)

300

Solve 2x2-3x-20

x= 4, -5/2

300

Simplify

3x2+18x-60

        3

x2+6x-20

300

Write the equation of a quadratic with the following information:

x= 1, 5

point (4, -3)

y= x2-6x+5

300

What is the vertex of f(x)=3x2+5x-4

(-0.5, -4.75) or (-1/2, -19/4)

400
Simplify 64x2-9y2​​​​

(8x-3y)(8x+3y)

400

What are the roots of (x+4)2=36?

x= -10, 2

400
Write in expanded notation

(2x-5)2

4x2-20x+25

400

Write the quadratic equation that has a vertex of (-3,6) and another point of (-2, 8)

y=2(x+3)2+6

400

What is the axis of symmetry of the function

f(x)=4(x-9)2+5

x=9

500

6x2-26x-20 can be written as 2(3x+2)(x+k). What is the value of k?

k= -5

500

Find the zeros of 15x2+30= -27x

No solution

500

Find the quotient and remainder:

(2x2+7x-4)/(x-3)

2x+13+35/x-3

500

Given a quadratic function in the form of

f(x)= -2(x-3)2+7, rewrite the quadratic in standard form.

f(x)= -2x2+12x-11

500

A ball is thrown h feet into the air and its height is modeled over seconds. That data is in the table below:

t  |   h

1  |   6

2  |   9

3  |  11

4  |  10

5  |   8

f(x)= -0.92x2+6.07x+0.8