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

D: ; F: 4

Question 2

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

Revolt · Accepted Answer

B: –2 and 5

Question 3

Which functions have real zeros at 1 and 4? Check all that apply.f(x) = x2 + x + 4f(x) = x2 – 5x + 4f(x) = x2 + 3x – 4f(x) = –2x2 + 10x – 8f(x) = –4x2 – 16x – 1

Revolt · Accepted Answer

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

Question 4

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

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

Question 5

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 6

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

Revolt · Accepted Answer

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

Question 7

Use the X method to find the solutions of

Revolt · Accepted Answer

B: ✔ –2

Question 8

–10/3 –4/32/3✔ 5/3

Revolt · Accepted Answer

D: ✔ 5/3

Question 9

⇒ 1.25

Revolt · Accepted Answer

81700

Question 10

What are the solutions of x2 + 10x + 16 = 0?Write the equation in standard form.Factor the polynomial.Apply the zero product property.Solve the resulting equations.

Revolt · Accepted Answer

: 86846; : -8

Solving Quadratic Equations: Zero Product Property Answers

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