Solving Quadratic Equations: Zero Product Property

Question 1

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

Revolt · Accepted Answer

x = 4

Question 2

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

Question 3

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?

Revolt · Accepted Answer

= 3

Question 4

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

Revolt · Accepted Answer

The graph touches the x-axis at (–2.5, 0).

Question 5

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

Revolt · Accepted Answer

(m + 5)(m – 9) = 0

Question 6

Which function has zeros at x = 10 and x = 2?

Revolt · Accepted Answer

f(x) = x2 – 12x + 20

Question 7

What are the solutions to the equation 0 = x2 – x –6? Select two optionsx = –3x = –2x = 0x = 2x = 3

Question 8

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

Revolt · Accepted Answer

x = 5

Question 9

What are the solutions of 3x2 + 14x + 16 = 0?

Revolt · Accepted Answer

x = , –2

Question 10

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

Revolt · Accepted Answer

2x2 + 8x – 24 = 0

Solving Quadratic Equations: Zero Product Property Answers

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