Polynomial Practice

What is the degree of this polynomial?

• 1

• 2

• 3

• 4

Answer explanation

What is the leading coefficient of this polynomial?

• +2

• -2

• +1

• -1

Answer explanation

What is the degree of this polynomial?

• 2

• 3

• 7

• 8

Answer explanation

Which of the following is the leading coefficient in this polynomial?

• 2

• 6

• 5

• 15

Answer explanation

What will the end behavior of this polynomial look like?

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• 
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Answer explanation

The leading coefficient is POSITIVE and the degree is EVEN, so the end behavior is:

both sides point the same and they both point down

What does the end behavior of this graph tell you?

• the leading coefficient is positive and the degree is even

• the leading coefficient is negative and the degree is even

• the leading coefficient is positive and the degree is odd

• the leading coefficient is negative and the degree is odd

Answer explanation

Where is the multiplicity of this graph?

*Where does it bounce?

• x = -1

• x = 2

• x = 4

• x = -4

Answer explanation

The only time the graph bounces is at x = -1.

The line at the other x intercepts (x = 2, x = 4) goes THROUGH them

Which equation matches this graph?

• f(x) = (x+1) (x-2) (x-4)²

• f(x) = (x+1) (x-2)² (x-4)

• f(x) = (x+1)² (x-2) (x-4)

Answer explanation

Match the bounce, match the x intercepts (remember they are the OPPOSITE sign of what you see on the graph)

Tags

CCSS.HSA.APR.B.3

Which of the following could be the equation of this graph in factored form? (Careful-pay attention to multiplicity.)

• f(x) = (x-4)(x-1)(x-2)(x-4)²

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

Answer explanation

At what x-intercept does the line bounce instead of go through?

Tags

CCSS.HSA.APR.B.3

What is the end-behavior of the function 
y = -x⁶ - 7x⁵ + 7x - 9

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Answer explanation