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

Lesson 9.1: Solving Quadratic Equations: Zero Product Property Answers

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

Answer:

3

2
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An equation has solutions of m = –5 and m = 9. Which could be the equation?

(
(m + 5)(m – 9) = 0
(
(m – 5)(m + 9) = 0
m
m2 – 5m + 9 = 0
m
m2 + 5m – 9 = 0
3

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

b
b = –16
b
b = –8
b
b = 8
b
b = 16
4

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

x
x = –6
x
x = –3
x
x = 4
x
x = 8
5

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

x
x = −5
x
x = −1
x
x = 1
x
x = 5
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:

15

7

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

2
2x2 – 16x + 12 = 0
2
2x2 + 8x – 24 = 0
3
3x2 – 4x – 12 = 0
3
3x2 + 12x + 36 = 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
=
= –3
Option =
=
= –4
Option =
=
= 3
Option =
=
= 4
Option =
9

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

f
f(x) = x2 + 2x − 10
f
f(x) = x2 − 2x − 10
f
f(x) = x2 + 3x − 10
f
f(x) = x2 − 3x − 10
10

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

h
h(x) = x2 – 13x – 30
h
h(x) = x2 – 7x – 30
h
h(x) = 2x2 + 26x – 60
h
h(x) = 2x2 + 14x – 60

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