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).
3
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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
4

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
5

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
6

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
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

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

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Lesson 9.1: Solving Quadratic Equations: Zero Product Property