Solving Quadratic Equations: Zero Product Property

Question 1

What are the solutions to the equation (x – 2)(x + 5) = 0?

Revolt · Accepted Answer

C: x = 2, –5

Question 2

What values of x make the equation x2 + 9x – 22 = 0 true? Check all that apply.–11–20211

Revolt · Accepted Answer

A: –11; D: 2

Question 3

Sanjay graphs a quadratic function that has x-intercepts of –3 and 7. Which functions could he have graphed? Check all that apply.g(x) = x2 – 4x – 21g(x) = (x – 3)(x + 7)g(x) = 3x2 – 12x – 63g(x) = –(x + 3)(x – 7)g(x) = x2 + 4x – 21

Revolt · Accepted Answer

A: g(x) = x2 – 4x – 21; C: g(x) = 3x2 – 12x – 63; D: g(x) = –(x + 3)(x – 7)

Question 4

The graph of a quadratic function touches, but does not cross, the x-axis at x = 4. Which function represents this situation?

Revolt · Accepted Answer

C: y = x2 – 8x + 16

Question 5

What are the roots of the function y = 4x2 + 2x – 30?

Revolt · Accepted Answer

Factor out the GCF of .: 2; Next, factor the trinomial completely. The equation becomes .: 0 = 2(2x – 5)(x + 3); The roots of the function are .: –3 and 5/2

Question 6

What are the roots of the function y = 4x2 + 2x – 30?

Revolt · Accepted Answer

B: ✔ 2

Question 7

X 0 = (4x + 10)(x – 3) ✔ 0 = 2(2x – 5)(x + 3)0 = 4(x – 5)(x + 6)

Revolt · Accepted Answer

B: ✔ 0 = 2(2x – 5)(x + 3)

Question 8

–6 and 5X –3, 0, and 5/2✔ –3 and 5/2–5/2 and 3

Revolt · Accepted Answer

C: ✔ –3 and 5/2

Solving Quadratic Equations: Zero Product Property Answers

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