Rational and Complex 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

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

Find a polynomial function of degree 3 with zeros 3i and -2.

• P(x) = x³+2x²+9x+11
• P(x) = x³-2x²+9x+18
• P(x) = x³+2x²+9x+18
• P(x) = x²-3ix+2x-6i

Tags

CCSS.HSA.APR.B.3

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

• 4
• 7
• 2
• 11

How many zeros does the polynomial function
 P(x) = 3x⁴+4x-8 have?

• 1
• 2
• 3
• 4

Tags

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

How many negative zeros does the polynomial function
P(x) = x³+3x²-5x-15 have?

• 0
• 1
• 2
• 3

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

A polynomial function with rational coefficients of degree 3 MUST have at least 1 rational zero.

• True
• False

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

A polynomial function with rational coefficients of degree 4 MUST have at least 1 rational zero.

• True
• False

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3