Quiz about Polynomial Functions - Graphing Intro

Question 1

What is the degree of the polynomial function
P(x)=3x⁴-7x²-2x⁷-x+4?

Accepted Answer

7

Answer

4

Answer

2

Answer

1

Question 2

From left to right describe: y = -x²

Accepted Answer

down and down

Answer

down and up

Answer

up and down

Answer

up and up

Question 3

From left to right describe: y = -x³ - 6

Accepted Answer

up and down

Answer

down and down

Answer

down and up

Answer

up and up

Question 4

What are the
zeros of the polynomial
y = 3(x + 4)(x + 1)(x - 3)?

Accepted Answer

-4, -1, 3

Answer

3, -3, 4, 1

Answer

4, 1, -3

Answer

3, -4, -1, 3

Question 5

Describe the end behavior of
f(x) = -5x⁴ - 2x² + 8

Accepted Answer

Left side: Falls
Right side: Falls

Answer

Left side: Rises
Right side: Rises

Answer

Left Side: Rises
Right side: Falls

Answer

Left side: Falls
Right side: Rises

Question 6

Question 6.

Accepted Answer

Even Degree
- Leading Coeff.

Answer

Even Degree
+ Leading Coeff.

Answer

Odd Degree
- Leading Coeff.

Answer

Odd Degree
+ Leading Coeff.

Question 7

f(x)=(x+4)(x-3)(x-2)

List the zeros for this function.

Accepted Answer

x=-4, x=3, x=2

Answer

x=-4, x=3, x=-2

Answer

x=-4, x=3, x=-2

Answer

x=4, x=3, x=2

Question 8

Find all zeros of the polynomial function P(x) = x³+6x²+9x+54

Accepted Answer

-6, 3i, -3i

Answer

6, 3, -3

Answer

-6, 3, -3

Answer

6, 3i, -3i

Question 9

Find a polynomial function of degree 3 with zeros 3i and -2.

Accepted Answer

P(x) = x³+2x²+9x+18

Answer

P(x) = x³+2x²+9x+11

Answer

P(x) = x³-2x²+9x+18

Answer

P(x) = x²-3ix+2x-6i

Question 10

How many zeros does the polynomial function
P(x) = 3x⁴+4x-8 have?

Accepted Answer

4

Answer

1

Answer

2

Answer

3

Question 11

f(x) = 2x³ - 3x² + 4x -10

What is the degree of f(x)?

Accepted Answer

3

Answer

2

Answer

1

Answer

0

Question 12

f(x) = 2x³ - 3x² + 4x -10

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

Accepted Answer

2

Answer

3

Answer

1

Answer

0

Question 13

f(x) = -3x⁴ + x³ - 2x² + x - 1

State the maximum and minimum number of zeros for f(x).

Accepted Answer

Max: 4 Min: 0

Answer

Max: 4 Min: 1

Answer

Max: 3 Min: 0

Answer

Max: 3 Min: 1

Question 14

f(x) = x³ - 3x² - 4x

Find the zeros of f(x).

Accepted Answer

{-1, 0, 4}

Answer

{-4, 0, 1}

Answer

{-1, 4}

Answer

{-4, 1}

Question 15

Write the polynomial in standard form given the following zeros. x = -2, 1, 4

Accepted Answer

f(x) =x³ - 3x² - 6x + 8

Answer

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

Answer

f(x) = x³+ 8

Answer

f(x) = x³ - 3x² + 8

Question 16

Which of the following would be a root with 3i?

Accepted Answer

-3i

Answer

3i2

Answer

3i

Answer

-3i2

Question 17

Which of the following would be the correct factored form with roots 2, 5i, and 6?

Accepted Answer

(x-6)(x-2)(x+5i)(x-5i)

Answer

(x+6)(x+2)(x+5i)

Answer

(x-6)(x-2)(x-5i)

Answer

(x+6)(x+2)(x-5i)

Question 18

If a+bi is a root of a polynomial, then _______ is also a root.

Accepted Answer

a-bi

Answer

i2

Answer

a+bi

Answer

-i2

Polynomial Functions - Graphing Intro

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