AnswersMathematics IIFactoring Polynomials: GCF

Factoring Polynomials: GCF — Quiz Answers

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7

The volume of a prism is the product of its height and area of its base, cap v is equal to cap b h A rectangular prism has a volume of 16 y to the 4th power plus 16 y cubed plus 48 y squared cubic units. Which could be the base area and height of the prism?

A
a base area of 16 y squared square units and height of y squared plus y plus 3 units
B
a base area of 8 y squared square units and height of y squared plus 2 y plus 4 units
C
a base area of 12 y square units and height of 4 y squared plus 4 y plus 36 units
D
a base area of 4 y square units and height of 4 y squared plus 4 y plus 12 units
8

Six equilateral triangles are connected to create a regular hexagon. The area of the hexagon is 24 A squared minus 18 square units. Which is an equivalent expression for the area of the hexagon based on the area of a triangle?

A
6 A open paren 18 A minus 12 close paren
B
6 A open paren 12 A minus 9 close paren
C
6 times open paren 4 A squared minus 3 close paren
D
6 times open paren 8 A squared minus 9 close paren
9

Mara carried water bottles to the field to share with her team at halftime. The water bottles weighed a total of 60⁢x2+48⁢x+24 ounces. Which factorization could represent the number of water bottles and weight of each water bottle?

A
12 times open paren 5 x squared plus 4 x plus 2 close paren
B
6 times open paren 10 x squared plus 8 x plus 2 close paren
C
12 x open paren 5 x squared plus 4 x plus 2 close paren
D
6 x open paren 10 x squared plus 8 x plus 2 close paren
10

What is the fully factored form of 32 A cubed plus 12 A squared ?

A
12 A open paren 3 A squared plus A close paren
B
4 A open paren 8 A squared plus 3 A close paren
C
4 A squared open paren 8 A plus 3 close paren
D
12 A squared open paren 3 A plus 1 close paren

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