3.1-3.5 Polynomials Review

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

If a zero of a polynomial function has multiplicity 4 that means:

• The x intercept is at (4, 0)
• The graph will "bounce back" at that zero
• The graph will "pass through" at that zero
• Zeros cannot have multiplicity of 4

Tags

CCSS.HSA.APR.B.3

How many roots or zeros does the equation
f(x) = 5x⁴-8x³+4x²-6x+3 have?

• 3
• 4
• 5
• 0

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.11

What are the zeros with multiplicities?

 $g(x)=(x+4)^2(x+8)^3(x-5)$  

• -4 multiplicity 1, -8 multiplicity 1, 5 multiplicity 3

• 4 multiplicity 2, 8 multiplicity 3, -5 multiplicity 1

• 4 multiplicity 3, 8 multiplicity 2, -5 multiplicity 1

• -4 multiplicity 2, -8 multiplicity 3, 5 multiplicity 1

Tags

CCSS.HSF-IF.C.7C

If the zeros of a polynomial are -1, 3, and 7 then what does the polynomial look like in factored form?

• (x-1)(x+3)(x+7)

• (x+1)(x-3)(x-7)

• -x² + 3x + 7

• (x-1)

Tags

CCSS.HSA.APR.B.3

What are the zeros in (x-5)(x+4)

• 4 and -5

• 5 and -4

• -4 and -5

• no zeros

Tags

CCSS.HSA.APR.B.2

Complete the end behavior statement for the graph of f(x). As  $x\rightarrow\infty,\ y\rightarrow\ ?$  

•  $\infty$  

•  $-\infty$  

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Complete the end behavior statement using the degree and leading coefficient:  $f\left(x\right)=-x^7+2x^2+3x-4$  . 

As  $x\rightarrow\infty,\ y\rightarrow\ ?$  

•  $\infty$  

•  $-\infty$  

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Describe the end behavior of the graph.

• x → ∞, y→ ∞ and
  x→ ∞, y→⁻∞
• x → ∞, y→ ∞ and
  x→⁻∞, y→∞
• None of these
• x →∞,y→⁻∞ and
  x→∞, y→⁻∞

Tags

CCSS.HSF-IF.C.7A

In the above graph complete the following end behavior:
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____

• -∞
  -∞
• +∞
  -∞
• -∞
  +∞
• +∞
  +∞

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7