Polynomial Review

When a polynomial function f(x) is divided by
 (x - 8), the remainder is 12. 
What is f(8)?

• -8
• 8
• 12
• cannot be determined

Tags

CCSS.HSA.APR.B.2

If (x + 3) divides a polynomial function evenly, then which of these is known to be a zero of the polynomial?

• x = -3
• x = 3
• x = 0
• cannot be determined

Tags

CCSS.HSA.APR.B.2

Find the zeros of this polynomial and describe their multiplicity.
f(x) = 3x⁴ - 12x²

• 0 multiplicity 3, -2 multiplicity 1, 2 multiplicity 1
•  -2 multiplicity 1, 2 multiplicity 1
• 0 multiplicity 2, -2 multiplicity 1, 2 multiplicity 1
• 3 multiplicity 4, -12 multiplicity 2

Tags

CCSS.HSF-IF.C.7C

A polynomial  factors as 
 f(x) =  x³(x + 1)²(x - 4). List the zeros of f(x) and their multiplicity.

• 0 multiplicity 3, 1 multiplicity 2, -4 multiplicity 1
• 0 multiplicity 3, -1 multiplicity 2, 4 multiplicity 1
•  1 multiplicity 2, -4 multiplicity 1
•  -1 multiplicity 2, 4 multiplicity 1

Tags

CCSS.HSF-IF.C.7C

Find a polynomial function with the given 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

In the above graph, which root has a multiplicity of 2?

• -1

• -3

• -120

• 4

Tags

CCSS.HSA.APR.B.3

What is the equation in factored form of this graph?

• f(x) = (x-4)(x-1)²(x+2)(x+4)
• f(x) = (x-4)(x+1)²(x+2)(x+4)
• f(x) = (x-4)(x-1)²(x-2)(x+4)
• f(x) = (x+4)(x+1)²(x-2)(x-4)

Tags

CCSS.HSA.APR.B.3

What is the classification of the following polynomial?
 $x^2-8x+10$  

• quadratic binomial

• cubic trinomial

• linear binomial

• quadratic trinomial

What is another way to say "where a function crosses the x-axis"?

• x-intercept
• zero
• root
• all of these.

Tags

CCSS.HSF-IF.C.7C

Use the Complex Conjugate Root Theorem to state another complex solution. Given that -2-5i is a root. 

• -2-5i
• -2+5i
• 2+5i
• 5i