AnswersFL-1200710-Mathematics for College Algebra ASolving Quadratic Equations: Zero Product Property

Solving Quadratic Equations: Zero Product Property Answers

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1
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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
2
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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
3

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
4

Which function has zeros at x = −2 and x = 5?

A
f(x) = x2 + 2x − 10
B
f(x) = x2 − 2x − 10
C
f(x) = x2 + 3x − 10
D
f(x) = x2 − 3x − 10
5

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
6

The roots of the function f(x) = x2 – 2x – 3 are shown. What is the missing number? x = –1 and x =

Answer not available
7

The function g(x) = x2 – 10x + 24 is graphed on a coordinate plane. Where will the function cross the x-axis?

A
(–6, 0) and (–4, 0)
B
(–2, 0) and (–12, 0)
C
(4, 0) and (6, 0)
D
(12, 0) and (2, 0)
8

What are the solutions of 3x2 + 14x + 16 = 0?

A
x = , –2
Option A
B
x = –2,
Option B
C
x = , 2
Option C
D
x = , 2
Option D
9

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?

Question illustration
A
= –3
Option A
B
= –4
Option B
C
= 3
Option C
D
= 4
Option D
10

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
11

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
12

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
13

The function g(x) = x2 – 10x + 24 is graphed on a coordinate plane. Where will the function cross the x-axis?

A
(–6, 0) and (–4, 0)
B
(–2, 0) and (–12, 0)
C
(4, 0) and (6, 0)
D
(12, 0) and (2, 0)
14

What are the solutions of 3x2 + 14x + 16 = 0?

A
x = , –2
Option A
B
x = –2,
Option B
C
x = , 2
Option C
D
x = , 2
Option D
15

Blake knows that one of the solutions to x2 – 6x + 8 = 0 is x = 2. What is the other solution?

A
x = –6
B
x = –3
C
x = 4
D
x = 8

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