Quadratics Test Review Questions

Greatest Common Factor

100

Factor 2x² + 10x 

2x(x+5)

200

Factor 16-8a

8(2-a)

300

Factor 9x²-18x

9x(x-2)

400

Factor

21x⁶ - 14x⁵ + 49x⁴

7x⁴ (3x² - 2x + 7)

500

Factor 8x²-40

8 (x² - 5)

Factoring by Grouping(a=1)

100

Factor: 

x²+6x+8

(x+4)(x+2)

200

Factor:

x² + x - 6 

(x+3)(x-2)

300

Factor:

x² - 10x - 24

(x-12)(x+2)

400

Factor:

x² + x - 40 = 2

(x-6)(x+7)

500

Factor:

x² - 12x + 36 

(x-6)²

Factoring by Grouping(a > 1)

100

The result of factoring 

2x² - x - 3

(2x-3)(x+1)

200

Factor

4x² - 3x - 10

(4x + 5)(x - 2) 

300

Factor

3x² + 2x -1

(x+1)(3x-1)

400

Factor

4x² - 1

(2x+1)(2x-1)

500

Factor

4x² + 24x +36

4 (x+3)²

Solve for the roots/zeros

100

What are the roots of the function?

-4x² + 2x

x= 0
x= 1/2 (or 0.5)

200

What are the roots/zeros of the function?

x² + x - 30

x= -6

x= 5

300

What are the roots/zeros of the function?

x² - 25

x = 5

x = -5

400

What are the roots/zeros of the function?

x² + 2x + 1

x= -1

500

What are the roots/zeros of the following function?

8x² + 6x = 2

x= -1

x= 1/4 (or 0.25)

Vertex and Quadratic Formula

100

Find the vertex of the quadratic

2x^2+10x-4

What is 

(-2.5,-8.5)

200

Find the vertex of the quadratic

x^2-100

What is 

(0,-100)

300

Solve for x: 

2x^2-3x=0

x=0, x=3/2

400

What is the quadratic formula & when do you need to use it?

Quadratic Formula is used when you can't find two factors that multiply to a(c) AND add to b. (You can't fill in the sides of the diamond).

x=(-b+- sqrt(b^2-4ac))/(2a)

500

Solve the for the roots of the function.

4x² +8x + 3 = 0

x= -1/2 (or -0.5)

x= -3/2 (or -1.5)