Quiz about Review: Factoring Quadratic Functions

Question 1

Factor x²-16

Accepted Answer

(x-4)(x+4)

Answer

(x+4)2

Answer

(x-4)2

Answer

(x-16)(x+16)

Question 2

What is the first question you ask yourself when factoring a polynomial?

Accepted Answer

Is there a GCF?

Answer

How many terms does it have?

Answer

What strategy should I use?

Answer

Why do I have to learn this?!?!?!

Question 3

Factor
3a² + 4a + 1

Accepted Answer

(3a+1)(a+1)

Answer

(7a-10)(a-8)

Answer

Not factorable

Answer

(3a-1)(a-1)

Question 4

Factor
k² - 2k - 24

Accepted Answer

(k+4)(k-6)

Answer

(k+4)(k+6)

Answer

(k+6)(k-1)

Answer

(k-4)(k+6)

Question 5

What is the first step in solving
(x + 2)(x - 3) = 0 ?

Accepted Answer

Set each binomial factor equal to zero

Answer

Plug in zero for x

Answer

Solve for x

Answer

FOIL

Question 6

Solve the equation:
5x² - 35x + 60 = 0

Accepted Answer

x = 3,  4

Answer

x = 3,  -4

Answer

x = -3,  4

Answer

x = -3,  -4

Question 7

Find the vertex of
f(x) = -x²- 4x + 12

Accepted Answer

(-2, 16)

Answer

(2, 0)

Answer

(2, 4)

Answer

(-2, 4)

Question 8

The solutions of the quadratic equation

x²+2x-15=0 are (hint: find the zeros) FACTOR

Accepted Answer

x = -5 or x = 3

Answer

x = 3 or x = 5

Answer

x = 5 or x = -3

Answer

x = -3 or x = -5

Question 9

Solve by factoring.

b² + 2b - 24 = 0 (hint: find the zeros) FACTOR!

Accepted Answer

x = -6 or x = 4

Answer

x = 6 or x = -4

Answer

x = -6 or x = -4

Answer

x = 6 or x = 4

Question 10

24 and 12 can BOTH be divided by ___. Select all of the choices that make this statement true.

Accepted Answer

2

Accepted Answer

4

Accepted Answer

6

Answer

8

Question 11

Factor Completely:
3x² + 18x +15
Hint: Factor GCF first.

Accepted Answer

3(x + 5)(x + 1)

Answer

3(x² + 6x + 5)

Answer

(x + 5)(x + 1)

Answer

Prime

Question 12

Solve:
x² - 49 = 0

Accepted Answer

x = -7, x = 7

Answer

x = -7

Answer

x = 7

Answer

x = -7, x = 1

Question 13

Convert x²- 9x + 20 to factored form and solve.

Accepted Answer

(x-4)(x-5); x = 4, 5

Answer

(x-10)(x+2); x = -2, 10

Answer

(x+4)(x+5); x = -5, -4

Answer

Not factorable

Question 14

What is another name for the x-intercepts of a quadratic?

Accepted Answer

Zeros

Answer

y-intercept

Answer

x-axis

Answer

They don't have another name

Question 15

Keith determines the zeroes of the function f(x) to be -6 and 5. What could be Keith's function?

Accepted Answer

f(x) = (x - 5)(x + 6)

Answer

f(x) = (x + 5)(x + 6)

Answer

f(x) = (x + 5)(x - 6)

Answer

f(x) = (x - 5)(x - 6)

Question 16

Select all the correct solutions to

15x² - 8x + 1 = 0

Accepted Answer

x=1/5

Accepted Answer

x=1/3

Answer

x=-1/5

Answer

x=5/3

Question 17

Solve the quadratic equation.

12x² - 4x = 5

Select all correct solutions.

Accepted Answer

x=-1/2

Accepted Answer

x=5/6

Answer

x=1/2

Answer

x=6/5

Question 18

What are the factors of
25x² - 81?

Accepted Answer

(5x - 9)(5x + 9)

Answer

(5x - 9)(5x - 9)

Answer

(5x + 9)(5x + 9)

Answer

Cannot be factored

Question 19

Factor completely: 2x²+22x+60

Accepted Answer

2(x+5)(x+6)

Answer

(2x+10)(x+6)

Answer

(x+5)(x+6)

Answer

2(x+1)(x+30)

Question 20

Factor completely: x²-6x+8

Accepted Answer

(x-2)(x-4)

Answer

(x-1)(x-8)

Answer

(x+2)(x+4)

Answer

(x+1)(x+8)

Question 21

Factor completely: x²+16x+64

Accepted Answer

(x+8)(x+8)

Answer

(x+4)(x+16)

Answer

(x-8)(x-8)

Answer

(x+2)(x+32)

Question 22

Factor
k²+7k+10

Accepted Answer

(k+2)(k+5)

Answer

(k-2)(k-5)

Answer

(k+10)(k+4)

Answer

(k+2)(k-5)

Question 23

Factor
3v² - 4v - 7

Accepted Answer

(3v-7)(v+1)

Answer

3(v-7)(v-1)

Answer

(3v+1)(v-9)

Answer

(3v+1)(v-10)

Question 24

Factor
9x²+9x-10

Accepted Answer

(3x+5)(3x-2)

Answer

(3x-5)(3x+2)

Answer

(3x+5)(3x+2)

Answer

Not Factorable

Question 25

Factor Completely:
3x² + 18x +15

Accepted Answer

3(x + 5)(x + 1)

Answer

3(x² + 6x + 5)

Answer

(x + 5)(x + 1)

Answer

Prime

Question 26

Factor Completely:
2k²-14k-60

Accepted Answer

2(k-10)(k+3)

Answer

2(k-10)(k-3)

Answer

Not Factorable

Answer

(k-5)(k+9)

Question 27

Solve
h² + 7h + 10 = 0

Accepted Answer

A. h= -5, -2

Answer

B. h= 5, 2

Answer

C. h = -1, ^-10/₆

Answer

D. h = ^-2/₅, -10

Question 28

Solve by factoring.

x² + 15x + 44 = 0

Accepted Answer

{-11, -4}

Answer

{-8, 2}

Answer

{-7, 5}

Answer

{-11}

Question 29

Factor
3v² - 4v - 7

Accepted Answer

(3v-7)(v+1)

Answer

3(v-7)(v-1)

Answer

(3v+1)(v-9)

Answer

(3v+1)(v-10)

Question 30

Factor
x²+ 9x - 36

Accepted Answer

(x + 12)(x - 3)

Answer

(x + 9)(x - 4)

Answer

(x - 12)(x + 3)

Answer

(x - 9)(x - 4)

Review: Factoring Quadratic Functions

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