Solving Quadratic Equations: Zero Product Property

Question 1

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

Revolt · Accepted Answer

f(x) = x2 – 12x + 20

Question 2

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

Revolt · Accepted Answer

x = , –2

Question 3

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

Question 4

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

Revolt · Accepted Answer

(m + 5)(m – 9) = 0

Question 5

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

Revolt · Accepted Answer

b = –8

Question 6

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 7

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 8

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

Revolt · Accepted Answer

f(x) = x2 − 3x − 10

Question 9

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

Revolt · Accepted Answer

x = 5

Question 10

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

Solving Quadratic Equations: Zero Product Property Answers