Read each item carefully. Write the letter of the best answer in the blank provided for each item.

1. Which of the following are NOT factors of 8x³y²?

a. (4xy)(2x²y)

b. (8x³)(y²)

c. (x³y²)(8)

d. (2xy)(4xy)

2. What should be multiplied to 3x³y^z to get -12x³y¹z³?

a. 4x²2²

C. -4x²z²

b. 4xyz²

1 d. -2x²z² 4

3. What should be multiplied to (2m - 7) to get 4m² - 49?

a. 2m+7

C. 7m-2

b. 2m-7

d. 7m +2

4. What should be multiplied to (x² + 5) to get x¹ - 25?

a. x² +5

C. X+5

d. x-5

b. x²-5

5. What should be multiplied to (y + 8) to get y2 + 16y + 64?

a. y + 4

b. y-4

c. y-8

d. y + 8

6. What will you multiply to (3x + y) to make a perfect square trinomial?

a. 3x+y

C. -y + 3x

d. 3x² - y²

b. 3x-y

Which of the following is a difference of two squares?

a. x² + 4

7.

58

b. 2x²-9

c. x¹y³-100

d. 4x³y²-49

8. Which of the following is a possible value of n to make 8x" - 1000 a difference of two cubes?

a. 2

C. 15

b. 8

d. 25

9.

Which of the following is a sum of two cubes?

m² +9 b. m³-27

C. m² +9 d. m² +8

10. What is the greatest common factor in the expression 28x'y'z + 16x y'z"?

a. 8x³y¹z²

b. 4x³y¹z³

Factor 3m(m-4)-(m-4).

a. (m-4) (3m+ 1)

b. (3m-1)(m-4)

Factor 7t(t-5) + 3(5-t).

a. (-t+5)(7t+3)

b. (-t+5) (7t-3)

Factor x² + 11x +30?

a. (x+6)(x + 5)

b. (x+30)(x + 1)

14. Factor x²-15x + 36.

a. (x-36) (x-1)

b. (x-18)(x-2)

15. Factor x² - 10x-24.

a. (x-6)(x + 4)

b. (x-12)(x+2)

16. Factor 64y³-16y² + y.

a. y(8y-1)²

b. y(16y-1)²

17. Factor 27x³ - 64.

a. (3x-4) (9x²-12x + 16)

b. (3x-4) (9x² + 12x + 16)

18. Factor x³y +1.000.

a. (xy³ + 10) (x³y - 10xy³ + 100)

b. (xy+10)(x²y²-10xy + 100)

C. (xy-10) (x²y + 10xy³ + 100) d. (xy-10) (x²y-20xy³ + 100)

c. 4x'y'z³

d. 8x'y'z

c. (m-4)²(3m-1)

d. 3m(m-4)²

11.

12.

c. (t-5)(7t+3)

d. (t-5) (7t-3)

C. (x+15)(x + 2)

d. (x-15)(x + 2)

13.

c. (x-12)(x-3)

d. (x-6)(x-6)

c. (x-8)(x+3)

d. (x-24) (x + 1)

c. y(8y + 1)²

d. (8y + 1)(8y-1)

c. (3x-4) (9x² + 24x + 16)

d. (3x+4) (9x² - 24x + 16)


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