Free Printable Polynomials Zeros Quiz Review

1.

What is another way to say "where a function crosses the x-axis"?

a)

x-intercept

b)

zero

c)

root

d)

all of these.

2.

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

a)

True

b)

False

3.

List the possible rational zeros of

f(x) = x³ - 4x² -4x + 16

a)

1, 2, 4, 8, 16

b)

$\pm1,\pm2,\pm4,\pm8,\pm16$

c)

$\pm1,\pm4,\pm\frac{1}{4}$

d)

-2 and-4

4.

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

5.

f(x) = 2x³ - 3x² + 4x -10

What is the degree of f(x)?

a)

3

b)

2

c)

1

d)

0

6.

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

a)

3

b)

4

c)

5

d)

0

7.

Is (x-2) a factor of f(x)= x³-8x²+14x-4?

a)

Yes, (x-2) is a factor. There is a remainder.

b)

No, (x-2) is not a factor. The remainder is zero.

c)

Yes, (x-2) is a factor. The remainder is zero.

d)

No, (x-2) is not a factor. There is a remainder.

8.

If 𝒙²+𝟑𝒙+𝟕 is divided by 𝒙+𝟐, then what is the remainder?

a)

0

b)

-3

c)

9

d)

5

9.

$\left(x+5\right)$ is one of the factors of $x^3-4x^2-25x+100$ , find the roots. (Write it as x = and write from smallest root to biggest.)

NOTE: DO NOT PUT SPACES

(a)

10.

Find the zeros of the polynomial.
f(x) = (x-5)(2x+3)(7x-4)(x+6)

a)

x = 5, (2/3), 6, (7/4)

b)

x= -5, (3/2), (-4/7), 6

c)

x= 5, (-3/2), (4/7), -6

d)

x= 6, 5, -2/3, -4/7

11.

Find the zeros of the polynomial given one factor.

a)

X= 3,4,5

b)

x=-3,-4,-5

c)

x=-3,4,5

d)

x= 3, -4, -5

12.

Identify the zeros:

a)

x=-2, x=-1, x=0

b)

x=-2, x=0

c)

x=-1, x=0, x=2

d)

x=-2, x=0, x=1

13.

a)

The function has an Even degree

b)

The function has a Negative coefficient

c)

The function has an Odd degree

d)

The function has 3 real zeros

14.

a)

Positive Odd

b)

Positive Even

c)

Negative Odd

d)

Negative Even

15.

Determine the y-intercept
f(x) = x³ - 5x² - 25x + 125

a)

(0,0)

b)

(0,25)

c)

(0,125)

d)

(0,5)

16.

What is the degree?

a)

Odd

b)

Even

17.

What is the leading coefficient?

a)

Positive

b)

Negative

18.

Identify the zeros of the given function.
y= -2x(x+4)(x-1)

a)

0, -4, 1

b)

-4, 1

c)

4, -1

d)

-2, -4, 1

19.

Which of the following is a COMPLETE list of all possible Rational Zeros?
f(x) = x³ + 2x² - 6x + 8

a)

±1, ±8

b)

±1, ±2, ±4, ±8

c)

±1, ±2, ±4

d)

1, 2, 4, 8

20.

Is (x-2) a factor of f(x)= x³-8x²+14x-4?

a)

Yes, (x-2) is a factor. There is a remainder.

b)

No, (x-2) is not a factor. The remainder is zero.

c)

Yes, (x-2) is a factor. The remainder is zero.

d)

No, (x-2) is not a factor. There is a remainder.

21.

Is (x-3) a factor of
(x³- 3x²+ 2x + 2)?

a)

Yes

b)

No

22.

Perform Synthetic Division

\frac{2x^4-3x^3+8x-12}{x-4}

a)

$2x^3+5x^2+20x+88+\frac{340}{x-4}$

b)

$2x^3+5x^2+20x+88+\frac{340}{4}$

c)

$2x^3-11x^2-44x-168+\frac{660}{x-4}$

d)

$2x^2+5x+28+\frac{100}{x-4}$

23.

Describe the end behavior.

-2x^4+3x^2-4x+1

a)

$x\rightarrow\infty\ y\rightarrow-\infty$ , $x\rightarrow-\infty\ y\rightarrow-\infty$

b)

$x\rightarrow\infty\ y\rightarrow\infty$ , $x\rightarrow-\infty\ y\rightarrow\infty$

c)

$x\rightarrow\infty\ y\rightarrow-\infty$ , $x\rightarrow-\infty\ y\rightarrow\infty$

d)

$x\rightarrow\infty\ y\rightarrow\infty$ , $x\rightarrow-\infty\ y\rightarrow-\infty$

24.

Find all zeros:

x^3-3x^2-x+3

a)

1,-1, 3

b)

1,-1,3,-3

c)

1,-1, $\frac{1}{3},-\frac{1}{3}$

d)

1, 1, 3

25.

For synthetic division, what would be the number in the left hand box?

a)

0

b)

1

c)

2

d)

3

26.

Cam divided (x⁴ + 3x² - 4x - 2) by factor of (x-2) using synthetic division. His work is shown above. Which best describes his mistake?

a)

Cam wrote the remainder incorrectly.

b)

Cam did not use a zero place holder for the x³ term.

c)

Cam added instead of subtracting the rows.

d)

Cam should have used -2 as his division since the factor was x-2.

27.

What is the proper way to write the answer for the following problem?

a)

2x³-x²-25x+12

b)

2x⁴-x³-25x²-12x+0

c)

2x³-x²-25x-12

d)

2x⁴-x³-25x²-12x-0

28.

Let f(x) = 4x² -33x -27. Is k = 9 a zero of the function?

a)

yes

b)

no

29.

If you were dividing x⁶ + 4x³ + 2, how many 0's would you need when setting up the top row of your synthetic division?

a)

0

b)

2

c)

4

d)

6

30.

If you are missing an exponent in your polynomial you must put a zero as a coefficient place holder for that exponent

a)

True

b)

False

Polynomials Zeros Quiz Review

Total questions: 30

Worksheet time: 2hrs 26mins

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