Free Printable Unit 4 Review : Polynomials and Factoring

1.

What is the name of a polynomial with only one term?

a)

monomial

b)

binomial

c)

trinomial

d)

linear

2.

What is the name of a polynomial with two terms?

a)

monomial

b)

binomial

c)

trinomial

d)

quadratic

3.

What is the name of a polynomial with three terms?

a)

monomial

b)

binomial

c)

trinomial

d)

cubic

4.

What is the name of a monomial that does not have a variable?

( ex. 511 )

a)

constant

b)

linear

c)

quadratic

d)

cubic

5.

What is the name of a polynomial that has an exponent of 2?

( ex. nsquared or n² )

a)

constant

b)

linear

c)

quadratic

d)

cubic

6.

What is the name of a polynomial that has an exponent of 3?

( ex. t cubed or t ³ )

a)

constant

b)

linear

c)

quadratic

d)

cubic

7.

What are like terms?
Terms that have....

a)

the same variables

b)

the same exponents

c)

the same coefficients

d)

the same variables and exponents

8.

When you combine like terms, what do you do with the exponents?

a)

Add them

b)

Multiply them

c)

Nothing

9.

When you multiply polynomials, what do you do with the exponents?

a)

Add them

b)

Multiply them

c)

Nothing

10.

Find the sum.
(2x² + 5x - 7) + ( 3 - 4x² + 6x)

a)

2x²+ 3x +1

b)

-2x²- 11x -4

c)

2x² + 5x -7

d)

-2x² + 11x -4

11.

Find the sum.
(3y² + y³ - 5) + (4y² -4y + 2y³ + 8)

a)

3y³+ 7y²- 4y + 3

b)

4y² + 3y³ - y + 3

c)

-y⁴ + 2y³-y - 4

d)

4y³+ 3y²-3y + 1

12.

Find the difference.
(3- 2x + 2x²) - (4x -5 +3x²)

a)

x_² + 6x + 8

b)

2x²+ 5x - 7

c)

-x²-6x + 8

d)

-2x² + 11x - 4

13.

Simplify the expression:
(3x⁴ - 4 - 5x²) - (1 - x² + 2x³)

a)

3x⁴ - 2x³ - 4x² - 5

b)

3x⁴ - 7x³ - 4x² - 5

c)

3x⁴ - 7x³ - 4x² - 4

d)

3x⁴ - 5x³ - 4x² - 4

14.

Simplify:

5(3x+2)

a)

3x+10

b)

15x+10

c)

15x-10

d)

3x-10

15.

Simplify:
2x ( -2x -3)

a)

-4x - 3

b)

x² - 3

c)

-4x² - 6x

d)

-4x - 6

16.

(x +2)(x + 3)

a)

x² + 5x + 6

b)

x² + x + 6

c)

x² + 5x + 5

d)

x² + 6x + 6

17.

(5x+2)(x²-3x+6)

a)

5x³- 17x²+24x +12

b)

5x³+ 17x² - 24x +12

c)

5x³ - 13x² + 24x +12

d)

5x³ +13x² - 24x - 12

18.

(x-3)(x²+2x+7)

a)

x³-x²+x-21

b)

x³+5x+13x-21

c)

x³-3x²+7x-21

d)

x²+2x-3

19.

(3x − 6)(7x + 7)

a)

21x² − 63x + 42

b)

21x² − 21x − 42

c)

21x² − 42

d)

21x² + 63x + 42

20.

Find the product:
(5s+2)²

a)

25s²+4

b)

25s²+10s+4

c)

25s²+20s+4

d)

5s²+20s+4

21.

Find the product:
(10z-3)²

a)

10z²-30z-9

b)

100z²-60z+9

c)

100z²-9

d)

10z²-60z+9

22.

(2x³ - 5x² + 3x + 7) ÷ (x - 2)

a)

2x³ - x² + x + 9

b)

2x² - x + 1

c)

2x² - x + 1 + 9/x-2

d)

2x² - 9x - 15 - 23/x-2

23.

(2x³ + 5x² + 9) ÷ (x + 3)

a)

2x² - x + 3

b)

2x³ - x² + 3x

c)

2x² + 11x + 33 + 108/x+3

d)

2x² - 5x + 12

24.

(3x³ + 5x - 1) ÷ (x + 1)

a)

3x³ - 3x² + 8x - 9

b)

3x² - 3x + 8 - 9/x+1

c)

3x² + 3x + 8 + 7/x+1

d)

3x³ + 3x² + 8x + 7

25.

Factor: x² + 9x + 18

a)

(x + 3)(x + 6)

b)

(x - 3)(x - 6)

c)

(x + 9)(x + 2)

d)

(x + 3)²

26.

Factor:
x² -17x - 60

a)

(x - 20)(x + 3)

b)

(x - 3)(x + 20)

c)

(x - 3)(x - 20)

d)

(x + 3)(x + 20)

27.

x²-17x+72

a)

(x+2)(x-36)

b)

(x-8)(x+9)

c)

(x-8)(x-9)

d)

(x-4)(x-7)

28.

5x²-15x+10

a)

(5x-2)(x-5)

b)

5(x-2)(x+1)

c)

Your Face

d)

5(x-2)(x-1)

29.

Is this a perfect square trinomial?
x² + 16x + 64

a)

Yes

b)

No

30.

Factor:
x² - 30x + 225

a)

(x + 15)²

b)

(x - 15)²

c)

(x + 25)²

d)

(x - 25)²

31.

Fully Factor the Following
25x²-81

a)

(5x-9)²

b)

(5x+9)(5x-9)

c)

25(x-9)²

d)

(9x+5)(9x-5)

32.

Fully Factor the Following
4x²-16

a)

(2x-4)(2x+4)

b)

(4x-4)(4x+4)

c)

4(x-2)²

d)

4(x-2)(x+2)

33.

What is the greatest common factor of 48x²and 32x³?

a)

8x²

b)

16x²

c)

16x

d)

96x³

34.

Factor:
17xy - x

a)

17(xy - x)

b)

y(17x - x)

c)

x(17y - 1)

d)

not factorable

35.

Solve the following trinomial by factoring:

-2x^2-5x+7=0

a)

$x=\frac{2}{7},\ -1$

b)

$x=-\frac{2}{7},\ 1$

c)

$x=\frac{7}{2},\ -1$

d)

$x=-\frac{7}{2},\ 1$

36.

Solve the following by factoring:

81a^2-49=0

a)

$a=7,\ -9$

b)

$a=\frac{7}{9},\ -\frac{7}{9}$

c)

$a=\frac{9}{7},\ -\frac{9}{7}$

d)

$a=-7,\ 9$

37.

Factor completely:

5a^2-125b^2

a)

$5a\left(1-25b\right)\left(1+25b\right)$

b)

$5\left(1-5b\right)\left(1+5b\right)$

c)

$5\left(a-5b\right)\left(a+5b\right)$

d)

$\left(5a-25b\right)\left(5a+25b\right)$

38.

Factor completely:

z^4-z^2

a)

$z\left(z+1\right)\left(z-1\right)$

b)

$z^2\left(z+1\right)\left(z-1\right)$

c)

$\left(z^2+z\right)\left(z^2-z\right)$

d)

$\left(z-1\right)\left(z+1\right)\left(z^2+1\right)$

39.

7r³-8r²+42r-48

a)

(r²+6)(7r+8)

b)

(r²+6)(7r-8)

c)

(r²+6)(r²+8)

d)

(r²+6)(7r+6)

40.

20x³-25x²+4x-5

a)

(5x²-5)(4x+1)

b)

5(x²-1)(4x+5)

c)

(5x²+1)(4x-5)

d)

(5x²+1)(4x-1)

41.

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)

42.

Factor by grouping:
x³+7x²-2x-14

a)

(x²-2)(x-7)

b)

(x²+2)(x-7)

c)

(x²+2)(x+7)

d)

(x²-2)(x+7)

43.

Factor Completely:
3x⁵ - 27x³

a)

3(x³ - 3)(x²+ 3)

b)

prime

c)

3x³(x² - 9)

d)

3x³(x - 3)(x + 3)

44.

Find the expression equivalent to 8x⁴+22x³-6x²

a)

2x²(4x-1)(x+3)

b)

2x²(4x-1)(x-3)

c)

2x²(4x+1)(x-3)

d)

2x(4x-1)(x+3)

Unit 4 Review : Polynomials and Factoring

Total questions: 44

Worksheet time: 1hrs 25mins

Similar Resources on Wayground