AnswersAlgebra III AQuadratic Functions: Factored Form

Solving Quadratic Equations: Zero Product Property Answers

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The function h(x) is quadratic and h(3) = h(–10) = 0. Which could represent h(x)?

A
h(x) = x2 – 13x – 30
B
h(x) = x2 – 7x – 30
C
h(x) = 2x2 + 26x – 60
D
h(x) = 2x2 + 14x – 60
2
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Nina knows that the average of the x-intercepts represents the line of symmetry for a quadratic function through the x-axis. Which equation represents the average of the x-intercepts for f(x) = 4x2 – 24x + 20?

A
= –3
Option A
B
= –4
Option B
C
= 3
Option C
D
= 4
Option D
3

Which function has zeros at x = 10 and x = 2?

A
f(x) = x2 – 12x + 20
B
f(x) = x2 – 20x + 12
C
f(x) = 5x2 + 40x + 60
D
f(x) = 5x2 + 60x + 100
4

The only solution of the equation x2 + bx + 16 = 0 is x = 4. What is the value of b?

A
b = –16
B
b = –8
C
b = 8
D
b = 16
5

What are the solutions to the equation 0 = x2 – x –6? Select two optionsx = –3x = –2x = 0x = 2x = 3

A
x = –3
B
x = –2
C
x = 0
D
x = 2
E
x = 3
7

Which equation is true for x = –6 and x = 2?

A
2x2 – 16x + 12 = 0
B
2x2 + 8x – 24 = 0
C
3x2 – 4x – 12 = 0
D
3x2 + 12x + 36 = 0
8

Which function has real zeros at x = 3 and x = 7?

A
f(x) = x2 + 4x – 21
B
f(x) = x2 – 4x – 21
C
f(x) = x2 – 10x + 21
D
f(x) = x2 – 10x – 21
9

An equation has solutions of m = –5 and m = 9. Which could be the equation?

A
(m + 5)(m – 9) = 0
B
(m – 5)(m + 9) = 0
C
m2 – 5m + 9 = 0
D
m2 + 5m – 9 = 0

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