Solving Quadratic Equations: Zero Product Property

Question 1

What are the solutions of 3(x – 4)(2x – 3) = 0? Check all that apply.–4–334

Revolt · Accepted Answer

Answer image: https://r22.core.learn.edgenuity.com//media.edgenuity.com/EVresources/cba720841199a2ade067f8819eb7c607.png; 4

Question 2

x2 + 10x + 16 = 0 (x + 2)(x + 8) = 0 x + 2 = 0 or x + 8 = 0 x = and x =

Revolt · Accepted Answer

Part 1: -2; Part 2: -8

Question 3

Use the X method to find the solutions of 6x2 + 2x – 20 = 0. x = x =

Revolt · Accepted Answer

Selection 1: –2; Selection 2: 5/3

Question 4

What are the roots of y = x2 – 3x – 10?

Revolt · Accepted Answer

–2 and 5

Question 5

Which functions have real zeros at 1 and 4? Check all that apply.

Revolt · Accepted Answer

f(x) = x2 – 5x + 4; f(x) = –2x2 + 10x – 8

Question 6

Which statements describe the graph of y = 4x2 + 28x + 49? Check all that apply.The graph has two x-intercepts because 4x2 + 28x + 49 has two different factors.The equation 2x + 7 = 0 can be used to find a zero of the function.The equation (2x – 7)2 = 0 can be used to find the y-intercept.The graph has a double root at x = .The graph intersects the y-axis at y = 49.

Revolt · Accepted Answer

The equation 2x + 7 = 0 can be used to find a zero of the function.; The graph has a double root at x = .; The graph intersects the y-axis at y = 49.

Question 7

Complete the equation so that it has solutions of –5 and 7. x2 + x + = 0

Revolt · Accepted Answer

Part 1: -2; Part 2: -35

Question 8

What are the key aspects of the graph of f(x) = x2 – b2, where b is a real number?

Revolt · Accepted Answer

The graph of f(x) = x^2 – b^2 is a parabola that opens upward. Its x-intercepts are at b and –b, meaning it has opposite x-intercepts. The y-intercept is located at (0, –b^2), which also serves as the vertex of the parabola. Since the vertex is on the y-axis, the graph is symmetrical about the y-axis.

Question 9

What did you include in your response? Check all that apply.

Revolt · Accepted Answer

The x-intercepts are b and –b.; The graph has opposite x-intercepts.; The graph is symmetrical over the y-axis.; The y-intercept is at –b2.

Solving Quadratic Equations: Zero Product Property Answers

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