Quiz about Solving Quadratic Functions by Factoring

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

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 3

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 4

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 5

Factor
3a² + 4a + 1

Accepted Answer

(3a+1)(a+1)

Answer

(7a-10)(a-8)

Answer

Not factorable

Answer

(3a-1)(a-1)

Question 6

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 7

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 8

What are the values of x when y = 0?

Accepted Answer

{ -3, -1 }

Answer

{ -3, 1 }

Answer

{ -2 }

Answer

{ 1, 3 }

Question 9

What are the x- intercepts?

Accepted Answer

x= 0 and x= 4

Answer

x= 0 and x= -4

Answer

y= 0

Answer

x= 2

Question 10

Solve:
x² - 49 = 0

Accepted Answer

x = -7, x = 7

Answer

x = -7

Answer

x = 7

Answer

x = -7, x = 1

Question 11

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 12

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 13

ax²+bx+c=0 is the standard form of a quadratic equation.

Accepted Answer

True

Answer

False

Question 14

Which is the correct graph of the function:

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 15

According to the graph, where are the solutions to the equation 0 = -x²-2x+3?

Accepted Answer

x = -3, x = 1

Answer

x = 2

Answer

x = 3, x = 0

Answer

No Solutions

Question 16

Which method would be most efficient for solving the equation?

Accepted Answer

factoring

Answer

completing the square

Answer

graphing

Answer

quadratic formula

Question 17

What is the maximum or minimum value of the quadratic function pictured?

Accepted Answer

Minimum: y = 1

Answer

Maximum: x = -2

Answer

Minimum: x = -2

Answer

Maximum: y = 2

Solving Quadratic Functions by Factoring

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