Polynomials and Zeros

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

Write the factored form of a function if it has zeros of 2, 3 and -1.

• (x-2)(x-3)(x+1)

• (x-1)(x-2)(x-3)

• (x-1)(x+2)(x+3)

• (x+1)(x+2)(x+3)

Tags

CCSS.HSA.APR.B.3

How many real zeros does the function have?

• None
• 2
• 3
• 4

Select polynomial whose zeros and degree are given.
Zeros: – 5(multiplicity of 3), 9(multiplicity of 2), – 2, 4.

• (x + 5)³(x - 9)²(x + 2)(x - 4)
• (x + 5)³(x - 9)²(x + 2)⁷(x - 4)⁷
• (x + 5)³(x - 9)²(x + 2)
• (x + 5)(x - 9)(x + 2)(x - 4)

Tags

CCSS.HSA.APR.B.3

Pick the polynomial that has the factors 3, 2, -2

• f(x) = (x - 3)(x - 2)(x + 2)

• f(x) = (x + 3)(x + 2)(x - 2)

• f(x) = (3x)(2x)(-2x)

• f(x) = 3x² + 2x - 2

Tags

CCSS.HSA.APR.B.3

A polynomial function with rational coefficients has the follow zeros: -1 + i and √5 . Find all additional zeros.

• 1 + i
• -√5 and 1 - i
• -√5 and -1 - i
• -1 - i

Tags

CCSS.HSN.CN.C.9

Given x=5, x =3/2, and x= 5/3...
which of the following is the correct factored form? 

• (x-5)(2x-3)(3x-5)
• (x+5)(2x+3)(3x-5)
• (x-5)(x-3/2)(x-5/3)
• (x-5)(3x-2)(5x-3)

Tags

CCSS.HSA.APR.B.3

Select polynomial whose zeros and degree are given.

Zeros: – 5 with multiplicity of 3, 9 with multiplicity of 2, – 2, and 4.

• (x + 5)³(x - 9)²(x + 2)(x - 4)

• (x + 5)³(x - 9)²(x + 2)⁷(x - 4)⁷

• (x + 5)³(x - 9)²(x + 2)

• (x + 5)(x - 9)(x + 2)(x - 4)

Tags

CCSS.HSA.APR.B.3

Select polynomial whose zeros and degree are given.
Zeros: – 5(multiplicity of 3), 9(multiplicity of 2), – 2, 4.

• (x + 5)³(x - 9)²(x + 2)(x - 4)
• (x + 5)³(x - 9)²(x + 2)⁷(x - 4)⁷
• (x + 5)³(x - 9)²(x + 2)
• (x + 5)(x - 9)(x + 2)(x - 4)

Tags

CCSS.HSA.APR.B.3

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

• 1
• 2
• 3
• 4