Free Printable Unit 4 Part 1 Review

1.

one-term polynomial

a)

monomial

b)

binomial

c)

trinomial

d)

polynomial

2.

a first-degree polynomial

a)

constant

b)

linear

c)

quadratic

d)

cubic

3.

f(x) = 2x³ - 3x² + 4x -10

What is the degree of f(x)?

a)

3

b)

2

c)

1

d)

0

4.

(a) (b)

Choose from the below words

Constant

5th degree

Monomial

Quadratic

4th degree

Trinomial

Linear

Binomial

Cubic

Polynomial

5.

(a) (b)

Choose from the below words

Constant

5th degree

Monomial

Linear

Polynomial

Quadratic

Trinomial

4th degree

Cubic

Binomial

6.

(a) (b)

Choose from the below words

Constant

5th degree

Monomial

4th degree

Linear

Binomial

Polynomial

Quadratic

Cubic

Trinomial

7.

(a) (b)

Choose from the below words

Constant

5th degree

Monomial

4th degree

Linear

Binomial

Cubic

Polynomial

Trinomial

Quadratic

8.

What is another word for zeros?

a)

solutions

b)

roots

c)

Both of these!

9.

What makes a solution a zero ONLY and not an x-intercept?

a)

If it's negative

b)

If the solution is zero

c)

If the solution is an imaginary number

10.

What are the zero's of the graph?

a)

x=-4, 0, 3, 7

b)

x=4,0,-3,-7

c)

x=-2.5 , 1.5, -5.5

d)

x=2.5 , -1.5, 5.5

11.

What are the zero's of the polynomial? $y=5x\left(x+2\right)\left(x+1\right)$

a)

x= 5, 1, and 2

b)

x= 0 , -1, and -2

c)

x= -5, -1 and -2

d)

x= 0, 1, and 2

12.

f(x)=(x+4)(x-3)(x-2)
List the zeros for this function.

a)

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

b)

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

c)

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

d)

x=4, x=3, x=2

13.

Which of the following are solutions to $x^2-x-12=0$

a)

x=4 and x=-3

b)

x=4 and x=3

c)

x=2 and x=-6

d)

x=-6 and x=2

14.

Which of the statements is true for the function $f\left(x\right)=\ 6x^3+12x^2-48x$

a)

The zeros are 0, 2, and 4.

b)

The zeros are 0, -2 and 4.

c)

The zeros are 0, 2 and -4.

d)

The zeros are -2 and 8.

15.

What is the proper way to write the quotient

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

16.

Divide, then choose the quotient.

a)

2x³ + 3x + (7/x-4)

b)

2x² + 3x + 8 + (7/x-4)

c)

2x² + 3x + 8

d)

2x² - x + 10 + (6/x-4)

17.

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.

18.

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

a)

0

b)

-3

c)

9

d)

5

19.

Factor:
$5n^3-10n^2+3n-6$

a)

$\left(5n^2+3\right)\left(n-2\right)$

b)

$\left(5n^2-3\right)\left(n-2\right)$

c)

$\left(5n^3+3\right)\left(n-2\right)$

d)

$10n\left(n^2-6\right)$

20.

Factor:

2x³- 8x²- x + 4

a)

(2x²-1)(x-4)

b)

2(x²-1)(x+4)

c)

(x²-1)(2x-4)

d)

(2x²+1)(x-4)

21.

Complete the difference of cubes formula
a³-b³=

a)

(a-b)(a²+ab+b²)

b)

(a+b)(a²-ab+b²)

c)

(a-b)(a²-ab+b²)

d)

(a+b)(a²+ab+b²)

22.

Complete the sum of cubes formula:

a³+b³=

a)

(a-b)(a²+ab+b²)

b)

(a+b)(a²-ab+b²)

c)

(a-b)(a²-ab+b²)

d)

(a+b)(a²+ab+b²)

23.

125x³ + 8

a)

(5x - 4)(25x² + 20x + 16)

b)

(5x + 2)(25x² - 10x + 4)

c)

(4x + 1)(16x² + 4x + 1)

d)

(4x - 3)(16x² + 12x + 9)

24.

Factor completely.
5x² - 13x + 6

a)

(x - 3)(5x - 2)

b)

(5x - 3)(x - 2)

c)

5(x - 3)(x + 2)

d)

Not factorable

25.

Factor completely.
2n²+ 17n - 30

a)

(2n - 3)(n + 10)

b)

(2n - 3)(n - 10)

c)

(2n + 3)(n - 10)

d)

(5n - 6)(n + 5)

Unit 4 Part 1 Review

Total questions: 25

Worksheet time: 2hrs 5mins

Similar Resources on Wayground