3-5 Quiz Review

What are the zeros of the function f(x) = x³ + 5x² + 6x?

Hint: (You might want a calculator)

• x = 2, x = 1, x = 5

• x = 1, x = 5, x = 6

• x = -3, x = -2, and x = 0

• x = 0, x = -5, x = -6

Tags

CCSS.HSF-IF.C.7C

What are the zeros of the function f(x) = x³ + 6x² - 7x?

Hint: (You might want a calculator)

• x = 7, x = -6, x = 0

• x = 0, x = -7, x = 1

• x = -7, x = 6, and x = 0

• x = 1, x = 6, x = -7

Tags

CCSS.HSF-IF.C.7C

What are the real zeros of the function f(x) = x⁴ + 6x³ - 6x² - 17x - 6?

Hint: (You might want a calculator)

• No solution

• x = 0, x = -7, x = 1

• x = -7, x = 6, and x = 0

• x = -1, x = 2

Once you find the zeros of a polynomial, how do you graph it?

• Use the zeros to determine the coefficient of the polynomial and plot the graph
• Use the zeros to determine x-intercepts, determine end behavior, plot additional points if needed, and connect them to create the graph.
• Use the zeros to determine the domain and range of the polynomial and plot the graph
• Use the zeros to determine y-intercepts and plot the graph

Which of the following is a graph of the function f(x) = x³ + 10x² + 21x?

• 
• 
• 
• 

Tags

CCSS.HSA.APR.B.3

Divide P(x) = x³ + 7x² + 4x + 21 by (x + 7), then write P(x) as a product of factors.

• P(x) = (x - 7)(x² + 7x + 3)

• P(x) = (x + 7)(x² - 7x - 3)

• P(x) = (x + 7)(x² + 4)

• P(x) = (x + 7)(x² - 4)

Tags

CCSS.HSA.APR.B.2

Divide P(x) = x³ + 8x² + 10x + 3 by (x + 1), then write P(x) as a product of factors.

• P(x) = (x + 1)(x² + 7x + 3)

• P(x) = (x + 1)(x² - 7x - 3)

• P(x) = (x + 1)(x² + 4)

• P(x) = (x + 1)(x² - 4)

Tags

CCSS.HSA.APR.B.2

Use the quadratic formula to identify the complex zeros of the quadratic expression

x² + 4x + 21

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

What are the real and complex zeros of the graphed function

f(x) = x³ + 3x² + x + 3?

(You will want scratch paper)

• Real: x = -3

  Complex: x = ± i

• Real: x = 3

  Complex: x = ± i

• Real: x = -3

  Complex: x = ± 3i

• Real: x = -3

  Complex: x = ± 2i

Tags

CCSS.HSA.APR.B.3