Factoring Polynomials: GCF Quiz

Which term can be used in the blank of 36x3−22x2−__ so the greatest common factor of the resulting polynomial is 2x? Select two options. 2 4xy 12x 24 44y

2 3

What is the fully factored form of 32a3 + 12a2? 4a2(8a + 3) 4a(8a2 + 3a) 12a2(3a + 1) 12a(3a2 + a)

A.) 4a2(8a + 3)

Harriet earns the same amount of money each day. Her gross pay at the end of 7 workdays is 35h+56 dollars. Which expression represents her gross pay each day? 5h+8 8h+5 7h+11.2 11.2h+7

A.) 5h+8

Which expression is equivalent to 10x2y + 25x2? 5x2(2y + 5) 5x2y(5 + 20y) 10xy(x + 15y) 10x2(y + 25)

A.) 5x2(2y + 5)

Six equilateral triangles are connected to create a regular hexagon. The area of the hexagon is 24a2 - 18 square units. Which is an equivalent expression for the area of the hexagon based on the area of a triangle? 6(4a2 - 3) 6(8a2 - 9) 6a(12a - 9) 6a(18a - 12)

A.) 6(4a2 - 3)

What is the greatest common factor of 42a5b3, 35a3b4, and 42ab4? 7ab3 6a4b 42a5b4 77a8b7

A.) 7ab3

Mara carried water bottles to the field to share with her team at halftime. The water bottles weighed a total of 60x2 + 48x + 24 ounces. Which factorization could represent the number of water bottles and weight of each water bottle? 6(10x2 + 8x + 2) 12(5x2 + 4x + 2) 6x(10x2 + 8x + 2) 12x(5x2 + 4x + 2)

B.) 12(5x2 + 4x + 2)

What is the factored form of 8x2 + 12x? 4(4x2 + 8x) 4x(2x + 3) 8x(x + 4) 8x(x2 + 4)

B.) 4x(2x + 3)

What is the completely factored form of the expression 16x2 + 8x + 32? 4(4x2 + 2x + 8) 4(12x2 + 4x + 28) 8(2x2 + x + 4) 8x(8x2 + x + 24)

C.) 8(2x2 + x + 4)

What is the greatest common factor of 24s3, 12s4, and 18s? 3 6 3s 6s

D.) 6s