Factor −6x2 + 18x.

6x(−x + 3)
−6x(x + 3)
x(6x + 18)
6(−x2 + 18x)
Question 2(Multiple Choice Worth 2 points)

(Factoring Algebraic Expressions LC)

Rewrite 30 − 6x3 using a common factor.

2(15 − 3x3)
2x(15 − 3x2)
6(5 − 6x3)
6x(5 − x2)
Question 3(Multiple Choice Worth 2 points)

(Factoring Algebraic Expressions MC)

Rewrite x4y2 − 3x3y3 using a common factor.

3xy(x3y − x2y)
3xy2(x2 − x2y)
x2y(xy − 3xy2)
x2y2(x2 − 3xy)
Question 4(Multiple Choice Worth 2 points)

(Factoring Algebraic Expressions LC)

Rewrite 6x + 36 using a common factor.

6(x + 36)
6(x + 6)
6x(x + 36)
6x(x + 6)
Question 5(Multiple Choice Worth 2 points)

(Factoring Algebraic Expressions MC)

Rewrite one sixth times x cubed times y plus five sixths times x times y squared using a common factor.

one third times x times y times the quantity x squared plus 5 times y end quantity
one third times x times y times the quantity 3 times x squared plus 15 times y end quantity
one sixth times x times y times the quantity x squared plus 5 times y end quantity
one sixth times x cubed times y squared times the quantity y plus 5 times x end quantity
Question 6 (Essay Worth 4 points)

(Factoring Algebraic Expressions HC)

You are given the expression 30x4y3 − 12x3y.

Part A: Find a common factor for the expression that has a coefficient other than 1 and that contains at least one variable. (1 point)

Part B: Explain how you found the common factor. (1 point)

Part C: Rewrite the expression using the common factor you found in Part A. Show every step of your work. (2 points)


PLEASE ANSWER MOST IF NOT ALL