Free Printable Polynomials PT 1 Review

1.

What does it mean to be a factor of a number?

a)

Divides evenly with a remainder of zero.

b)

Divides unevenly with a remainder of 1.

2.

How could you determine if x-2 is a factor of 2x³-5x²+x-2?

a)

Use synthetic division and see if the quotient is even

b)

Ask the person sitting next to me

c)

Use synthetic division and see if the remainder is zero

d)

Flip a coin

3.

The degree of the polynomial determines the max number of roots.

a)

True

b)

False

4.

Is x=-3 a solution for f(x)= $x^3-7x^2-21x+25$

a)

Yes

b)

No

5.

Solve $x^3-7x^2-21x+25\div x+3$

6.

For the following equation f(x)= $x^3+8x^2+10x+21$ , is x= -7 a root for the funtion?

a)

Yes

b)

No

7.

Solve $x^3+8x^2+10x+21\div x+7$

8.

When given the potential zero of x=3, is it a potential zero for the polynomial $x^3-4x^2-30x-18$ ?

a)

YES

b)

NO

9.

Solve $x^3-4x^2-30x-18\div x-3$

10.

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

a)

A

b)

B

c)

C

d)

D

11.

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

a)

A

b)

B

c)

C

d)

D

12.

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

a)

A

b)

B

c)

C

d)

D

13.

Use the Complex Conjugate Root Theorem to state another complex solution. Given that -2-5i is a root.

a)

-2-5i

b)

-2+5i

c)

2+5i

d)

5i

14.

Use the Complex Conjugate Root Theorem to state another complex solution. Given that 3+5i is a root.

a)

-3+5i

b)

-3-5i

c)

-5i

d)

3-5i

15.

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

a)

-4, -1, 3

b)

3, -3, 4, 1

c)

4, 1, -3

d)

3, -4, -1, 3

16.

Which one of these are not a zero of $f\left(x\right)=x^2\left(x-1\right)^2\left(x+5\right)$ ?

a)

0

b)

1

c)

-5

d)

-1

17.

Which one of these are not a zero of $f\left(x\right)=-2x\left(3x+1\right)^2\left(x+7\right)^7$

a)

-2

b)

0

c)

$-\frac{1}{3}$

d)

-7

18.

f(x) = 2x³ - 3x² + 4x -10

What is the degree of f(x)?

a)

3

b)

2

c)

1

d)

0

19.

How many roots or zeros does the equation
f(x) = 5x⁴-8x³+4x²-6x+3 have?

a)

3

b)

4

c)

5

d)

0

20.

Match the following

a)

polynomial of degree 2

1.

$f\left(x\right)=2x^2+3x-5$

b)

polynomial with zeros at 0, 1, and 2

2.

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

c)

polynomial with 5 zeros

3.

$f\left(x\right)=2x^5+3x^4-x^2-2x+11$

21.

Which polynomial correctly combines like terms and puts the given polynomial in standard form?

\frac{1}{3}x+8x^4-\frac{2}{3}x^2-x

a)

$8x^4-\frac{1}{3}x^2-x$

b)

$8x^4+\frac{2}{3}x^2+\frac{2}{3}x$

c)

$8x^4-\frac{2}{3}x^2-\frac{2}{3}x$

d)

$8x^4-\frac{2}{3}x^2-x$

22.

Determine the standard form of the given polynomial:

\frac{x}{4}-2x^5+\frac{x^3}{2}+1

a)

$\frac{x^3}{2}-2x^5+\frac{x}{4}+1$

b)

$-2x^5+\frac{x^3}{2}+\frac{x}{4}+1$

c)

$-2x^5+\frac{x}{4}+\frac{x^3}{2}+1$

d)

$1-2x^5+\frac{x^3}{2}+\frac{x}{4}$

23.

Is this expression in Standard Form?
6w² - 9w³

a)

Yes

b)

No

24.

Is this expression in Standard Form?
6w² - 9w³

a)

Yes

b)

No

25.

Which of the following is a polynomial?

a)

x^½ + 6

b)

x³ + 8 - 3x^-2

c)

1/2 x -3

d)

x⁴ + 8 - 3

26.

What should be the order of the polynomial coefficients if
(3x - 4x³ + 6x⁴ + 1) / (x + 3)

a)

3 0 -4 6 1

b)

6 -4 3 1 0

c)

6 -4 0 3 1

d)

-6 4 0 -3 -1

27.

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

a)

i²

b)

a-bi

c)

a+bi

d)

-i²

28.

How can I tell, when doing synthetic division, if the binomial is a FACTOR of the dividend?

a)

The remainder is zero

b)

They are all factors

c)

We can't tell

d)

The remainder is a constant

Polynomials PT 1 Review

Total questions: 28

Worksheet time: 2hrs 31mins

Similar Resources on Wayground