Operations on complex numbers

f(x)= x²(x – 2)³(x – 7)

State the zeros, include multiplicity.

• 0 (Mult of 2), 2 (Mult of 3), 7 (mult 1)
• 2 (Mult of 3), 7 (mult 1)
• 0, 2, 7
• 2 (mult of 2), 7 (mult of 3)

Tags

CCSS.HSN.CN.C.9

If the graph of a function crosses the x-axis, what does that mean about the multiplicity of that zero?

• Even

• Odd

• None

Tags

CCSS.HSN.CN.C.9

f(x) = 2x³ - 3x² + 4x -10

State the maximum number of turns the graph of f(x) could make.

• 3

• 2

• 1

• 0

Tags

CCSS.HSN.CN.C.9

Solve

• b=4/5, b=3

• b=4, b=-3

• b=1/5, b=3

• b=4/5, b=-3

Tags

CCSS.HSN.CN.C.9

Which of the following is a solution to -x²-2x+8=0?

• (-1,9)

• (0,8)

• No solutions

• (-4,0)

Tags

CCSS.HSN.CN.C.9

Given the polynomial equation, what would be the actual scenario of real vs. imaginary roots?

 $x^3-4x^2+9x-36$  

• 1 Real, 2 Imaginary

• 2 Real, 1 Imaginary

• 0 Real, 2 Imaginary

• 3 Real, 1 Imaginary

Answer explanation

Remember, imaginary roots can ONLY come in pairs!

Tags

CCSS.HSN.CN.C.9

(x - 5)(x - 2) = 0

• x = -5 and 2

• x = 5 and 2

• x = 5 and -2

• x = -5 and -2

Tags

CCSS.HSN.CN.C.9

What is the degree of the following function?

f(x) = 5x - 4x³ + 6x² + 2

• 5

• -4

• 6

• 3

• 2

Tags

CCSS.HSN.CN.C.9

How many complex zeros are there in the following polynomial?

f(x) = 5x - 4x³ + 6x² + 2

• 5

• -4

• 6

• 3

• 2

Tags

CCSS.HSN.CN.C.9

Write a polynomial function of least degree with the given zeros.

• A
• B
• C
• D

Tags

CCSS.HSN.CN.C.9