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Question 1

What is one factor of x3y3 - 8?

xy + 2

xy - 2

x2y2 + 2xy - 4

x2y2 - 2xy - 4

Question 2

Find the area of a rectangular room that has a width of (x + 3) and a length of (2x - 5).

3x - 2

3x + 8

2x2 + x - 15

2x2 - 8x - 15

Question 3

Expand: (4x - 1)3.

12x3 - 3

64x3 - 1

12x3 - 8x2 + 12x - 1

64x3 - 48x2 + 12x - 1

Question 4

Divide: (3x3 - 16x2 - 10x -12) divided by (x - 6)

3x2 - 2

3x2 + 2

3x2 + 2x + 2

3x2 - 2x - 2

Question 5

Solve: 3x2 - 18 = 0.

+3

+6

+the square root of three

+the square root of six

Question 6

What is the Greatest Common Factor of 8x2y - 12xy2 + 20xy?

2x2y2

4x2y2

2xy

4xy

Question 7

Factor: r2 - 7r – 30.

(r + 7)(r - 30)

(r + 3)(r - 10)

(r + 6)(r - 5)

(r + 2)( r - 15)

Question 8

What is the degree of the polynomial 5x2y2 - xy + 2x3y3?

2

4

6

8

Question 9

Factor: m3n3 + 125.

(mn - 5)(m2n2 - 25)

(mn + 5)(m2n2 + 25)

(mn + 5)(m2n2 + 5mn + 25)

(mn + 5)(m2n2 - 5mn + 25)

Question 10

Find the perimeter of a rectangular room with a length of (2x - 3) and a width of (x + 7).

3x + 4

6x + 8

2x2 + 4x - 21

2x2 - 4x - 21

Question 11

Simplify: (5x + 3) - (x - 2) + (2x - 1).

6x + 4

6x + 1

8x - 2

8x + 4

Question 12

When using synthetic division on (4x3 - 2x2 + 5x + 7) divided by (x + 2), which is the top line representing the dividend?

4 3 -2 5 7

4 2 5 7

4 -2 5 7

4 3 2 2 5 7

Question 13

Factor: 16x2 - 24x + 9.

(2x - 3)(8x - 3)

(2x - 9)(2x - 1)

(4x - 9)(4x - 1)

(4x - 3)(4x - 3)

Question 14

Factor: 16x2 - 9.

(4x + 3)(4x - 3)

(2x + 3)(8x - 3)

(2x - 3)(8x + 3)

(16x - 3)(x + 3)

Question 15

Solve: a2 + 24 = -10a.

6 and 4

- 6 and - 4

12 and 2

-12 and -2

Question 16

The following problem was factored by grouping. What mistake was made in the process?

2x3 - 6x2 + 5x - 15

(2x3 - 6x2) + (5x - 15)

2x2(x - 3) + 5(x - 3)

(x - 3)2 (2x2 + 5)

The problem cannot be factored into 2 groups of 2 factors.

The common factor of (2x3 - 6x2) is not 2x2.

The (2x2 + 5) factor in the last step cannot be combined together as a factor.

The (x - 3) factor in the last step should not be squared.

Question 17 (Multiple Choice Worth 4.0 points)

Factor: 6x2 - 7xy - 20y2.

(3x + 4y)(2x - 5y)

(3x - 4y)(2x + 5y)

(6x - 5y)(x + 4y)

(6x - 4y)(x + 5y)

Question 18

Expand: (2 - 5x)2.

4 - 20x + 25x2

4 - 10x + 10x2

4 - 10x2

4 + 25x2

Question 19

Factor: a2 + 16ab + 28b2.

(a + 4b)(a + 7b)

(a + 2b)(a + 8b)

(a + 6b)(a + 10b)

(a + 2b)(a + 14b)

Question 20

Multiply: 5x3y2(3x2 - 4y + xy).

8x5y2 + x3y2 + 5x3y3

8x6y2 + x3y3 + 5x3y2

15x5y2 - 20x3y3 + 5x4y3

15x6y2 - 20x3y2 + 5x3y3