Zeros of Polynomial Functions

f(x)=3x(x+4)(x-3)(x-2)

List the zeros for this function.

• x = 3, x = -4, x = 3, x = -2

• x = 0, x = -4, x = 3, x = 2

• x = -3, x = -4, x = -3, x = 2

• x = -4, x = 3, x = 2

Find all zeros for the polynomial function P(x) = x³ -3x²-5x+15

• 3, √5 
• 3, √5, -√5
• -3, √5, -√5
• -3, 5i, -5i

Factor
x² -16x + 48

• (x - 12)(x - 4)
• (x + 6)(x - 8)
• (x + 12)(x - 4)
• (x -16)(x - 3)

Factor completely: 3x² - 7x + 2

• (x - 1) (3x + 2)
• (x - 2) (3x -1)
• (x - 1) (3x - 2)
• (x + 2) (3x + 1)

What is the factored form of

x³ + 7x² - 2x -14 ?

• (x² - 2)(x - 7)

• (x² + 2)(x - 7)

• (x² + 2)(x + 7)

• (x² - 2)(x + 7)

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.SSE.A.2

Find all zeros of the function

x³ - 4x² -4x + 16

• 0, 4, 2

• -2, 2, 4

• 2, -4, 4

• -2, -4, 8

One factor of the polynomial x³ + 18x² + 83x + 66 is x+1. What are the other factors?

• x-3, x-22

• x-2, x-33

• x+6, x+11

• x-6, x-11

Solve: x³ - 3x² - 94x - 168 = 0 given that x+2 is a factor.

• -2, 12, -7

• -4, 6, 7

• -3, 8, 3

• -7, -2

Is (x-8) a factor of 
(x³-15x²+51x+30)

• No
• Yes

What is the degree of the polynomial:

f(x) = x² (x - 5)³(x+1)

• Degree 1

• Degree 2

• Degree 3

• Degree 5

• Degree 6