Solving Quadratic Equations: Zero Product Property Answers

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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
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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 not available
3

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
4

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
5

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).
6

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
7

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
8

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
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?

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

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)

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