Solving Quadratic Equations: Zero Product Property

Question 1

Which function has real zeros at x = 3 and x = 7?

Revolt · Accepted Answer

f(x) = x2 – 10x + 21

Question 2

The function g(x) = x2 – 10x + 24 is graphed on a coordinate plane. Where will the function cross the x-axis?

Revolt · Accepted Answer

(4, 0) and (6, 0)

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

Revolt · Accepted Answer

2x2 + 8x – 24 = 0

Question 5

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

Revolt · Accepted Answer

x = 5

Question 6

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 7

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

Revolt · Accepted Answer

h(x) = 2x2 + 14x – 60

Question 8

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

Revolt · Accepted Answer

15

Solving Quadratic Equations: Zero Product Property Answers

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