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

Solving Quadratic Equations: Zero Product Property Answers

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Which statement describes the graph of f(x) = 4x2 + 20x + 25?

A
The graph does not intersect the x-axis.
B
The graph touches the x-axis at (–2.5, 0).
C
The graph intersects the x-axis at (–0.4, 0) and (0.4, 0).
D
The graph intersects the x-axis at (2, 0) and (5, 0).
2
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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
3

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
4

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
5

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
6

A function f(x) has x-intercepts of –3 and –5. What is the constant term in the function? f(x) = x2 + 8x +

Answer not available
7

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
8

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)
9

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
10

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

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