Operations on complex numbers

Determine the best linear factor for the given graph. Assume the function has degree 4.

• (x - 1)(x - 2)(x - 4)

• -(x - 1)(x - 2)(x - 4)²

• -(x + 1)(x + 2)(x+ 4)²

• (x + 1)(x + 2)(x + 4)

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CCSS.HSN.CN.C.9

Use the Fundamental Theorem of Algebra to state the number of zeros/solutions/roots of the polynomial. 

• A
• B
• C
• D

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CCSS.HSN.CN.C.9

Zero of the polynomial p(x) = 2x + 5 is

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CCSS.HSN.CN.C.9

Find all real zeroes according to the given graph. Assume the function has degree 4.

• -1, 1

• -2, 2

• 0, 3

• -1/2, 1/2

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CCSS.HSN.CN.C.9

The Fundamental Theorem of Algebra tell us two things. Which of the options does not come from the Fundamental Theorem of Algebra?

• A nth degree polynomial has at least 1 complex solution
• An nth degree polynomial always has 2 x-intercepts
• A nth degree polynomial has n solutions.

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CCSS.HSN.CN.C.9

What are the possible numbers of real roots for a 7th degree polynomial?

• 7, 5, 3, 1

• 6, 4, 2, 0

• 7, 6, 5, 4

• 8, 6, 4, 2

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CCSS.HSN.CN.C.9

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CCSS.HSN.CN.C.9

Match the graph to the function

• f(x) = x⁵-1
• f(x) = x⁵-6x³+8x+1
• f(x) = x³+8x+1
• f(x) = -x⁵-6x³+8x+1

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CCSS.HSN.CN.C.9

How many non-real complex roots can a 7th degree polynomial have?

• It can have 7 non-real complex roots.

• It can have an even number of non-real complex roots.

• It cannot have non-real complex roots.

• It can have any number of non-real complex roots.

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CCSS.HSN.CN.C.9

Which the following function is matching the give graph

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CCSS.HSN.CN.C.9