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

Solving Quadratic Equations: Zero Product Property Answers

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

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

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
4

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
5

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
6

One of the solutions to x2 − 2x − 15 = 0 is x = −3. What is the other solution?

A
x = −5
B
x = −1
C
x = 1
D
x = 5
9

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)
10

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

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