Factoring Polynomials and Zeros

Give the correct linear factors of:
f(x)=x⁴+5x²-36

• (x+2)(x-2)(x+3i)(x-3i)
• (x²-4)(x²+9)
• (x+3)(x-3)(x+2i)(x-2i)
• (x²⁺4)(x²-9)

Tags

CCSS.HSA.APR.B.2

Give the correct linear factors of:
f(x)=x⁴-16

• (x+2)(x-2)(x+2i)(x-2i)
• (x²-4)(x²+4)
• (x-2)(x+2)(x²+4)
• (x+2)²(x-2)²

Tags

CCSS.HSA.APR.B.2

What are the zeros of the function?

• x = 3

• x = {-3, -1, 2}

• x = {-3, 2}

• x = -1

Tags

CCSS.HSA.APR.B.3

What are the zeros of the function?

• 4,1
• 3,1,-2,-5
• -3, -1, 2, 5
• -2,4

Find the polynomial that the degree of 4 and has zeros: x = 4i, 1, 2 

• (x+4i)(x-4i)(x-1)(x+2)
• (x-4i)²(x-1)(x+2)
• (x+4i)(x-4i)(x+1)(x-2)
• (x+4i)²(x+1)(x-2)

Tags

CCSS.HSA.APR.B.3

Write x³ + 9x² + 18x in factored form

• x(x + 6)(x + 3)

• x(x + 9)(x + 2)

• x(x + 6)

• x(x - 6)(x - 3)

Find the zeros of the function. State the multiplicity of multiple zeros.

3x³ - 3x

• 1, 2, 3; multiplicity of 1

• -1, 0, 1; multiplicity of 1

• -1, 0, 1; multiplicity of 3

• -1, 1; multiplicity of 1

Tags

CCSS.HSF-IF.C.7C