Zeros of Polynomial Functions

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

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

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

Find all zeros of the polynomial function P(x) = x³+6x²+9x+54

• 6, 3, -3
• -6, 3, -3
• -6, 3i, -3i
• 6, 3i, -3i

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

What is the degree of the polynomial function
P(x)=3x⁴-7x²-2x⁷-x+4

• 4
• 7
• 2
• 11

Find all zeros for the polynomial function P(x)= x³-3x²+12x-10

• 1, 1-3i, 1+3i
• 1, 1+3i, -1-3i
• -1, -1+3i, -1-3i
• -1, -5, 2

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

How many real zeros does the polynomial function
P(x) = x³+2x²+9x+18 have?

• 0
• 1
• 2
• 3

Tags

CCSS.HSA.APR.B.3

Is (x-7) a factor of (x²-5x+14)?

• Yes
• No

Tags

CCSS.HSA.APR.B.2

If the binomial (x - 7) is a factor of the polynomial function f(x), which statement must be true?

• f(7) = -7
• f(7) = 0
• f(-7) = 0
• f(-7) = -7

Tags

CCSS.HSA.APR.B.2

Factor:
 x³-12x²+47x-60=0 when 5 is a root.

• (x-3)(x-4)(x-5)=0
• (x+1)(x-4)(x-5)=0
• (x-3)(x-4)(2x-5)=0
• (x-5)(x-4)(x-5)=0

Tags

CCSS.HSA.APR.B.2

f(x) = 2x³ - 3x² + 4x -10

State the maximum number of turns the graph of f(x) could make.

• 3

• 2

• 1

• 0

f(x) = -3x⁴ + x³ - 2x² + x - 1

What is the y-intercept of f(x)?

• (-1, 0)

• (0, -1)

• (-3, 0)

• (0, -3)

Tags

CCSS.HSF-IF.C.7C