Quiz about Unit 5 - Test - Polynomials and Polynomial Functions

Question 1

What is the end behavior for the function y = -x⁵ - 3x⁴ - 5x³?

Accepted Answer

Up and Down

Answer

Up and Up

Answer

Down and Down

Answer

Down and Up

Question 2

Write a polynomial functions with zeros -1, 1 and 2.

Accepted Answer

(x + 1)(x - 1)(x - 2)

Answer

(x + 1)(x - 1)(x + 2)

Answer

(x + 1)(x + 1)(x + 2)

Answer

(x + 1)(x + 1)(x - 2)

Question 3

What are the zeros for the function y = x(x - 5)(x - 3)? Select all that apply.

Accepted Answer

0

Accepted Answer

3

Accepted Answer

5

Answer

-5

Answer

-3

Question 4

What is the degree of the polynomial?

$$f\left(x\right)\ =\ 2x^4-3x^2-2x\ -4?$$

Accepted Answer

4

Answer

3

Answer

2

Answer

1

Question 5

Choose the TWO that apply:

Accepted Answer

Even Degree

Accepted Answer

Positive Leading Coefficient

Answer

Odd Degree

Answer

Negative Leading Coefficient

Question 6

What are the zeros of the function?

Accepted Answer

-3, -1, 2, 5

Answer

4, 1

Answer

-3, -1, 30, 2, 5

Answer

3, 1, -2, -5

Question 7

What is the missing root for the cubic polynomial function with rational coefficients -4 and -5 - 19i ?

Accepted Answer

-5 + 19i

Answer

20 + 76i

Answer

4

Answer

5 + 19i

Question 8

Use what you know about complex conjugates to determine the conjugate of $$2+\sqrt[]{3}$$ .

Accepted Answer

$$2-\sqrt[]{3}$$

Answer

$$2+\sqrt[]{3}$$

Answer

$$-2+\sqrt[]{3}$$

Answer

$$-2-\sqrt[]{3}$$

Question 9

According to the Fundamental Theorem of Algebra, how many roots does the following equation have?

x⁵ + x⁴ + x³ + x² + x = 0?

Accepted Answer

5 roots

Answer

6 roots

Answer

1 root

Answer

no roots

Answer

3 roots

Question 10

g is a polynomial function with real coefficients and

$$-2i$$ is a zero of g. What is another zero?

Accepted Answer

2i

Answer

1-2i

Answer

1+2i

Answer

-2i

Question 11

Expand the expression using the Binomial Theorem.
(2x+5)⁴

Accepted Answer

16x⁴+ 160x³ +600x² +1000x + 625

Answer

2x⁴ + 40x³+ 300x² + 1000x +625

Answer

16x⁴ + 1000x³ + 600x²+ 160x +625

Question 12

Using the Fundamental Theorem of Algebra, what are all the factors of this polynomial: x⁵ - x⁴ + 6x³ - 6x² + 8x - 8

Accepted Answer

(x - 1)(x² + 2)(x²+ 4)

Answer

(x - 1)(x² - 2)(x²- 4)

Answer

(x + 1)(x² + 2)(x²+ 4)

Unit 5 - Test - Polynomials and Polynomial Functions

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics