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Polynomial Expressions — Test Answers

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Shelia is dividing x to the 4th power minus 4 x cubed plus 4 x squared minus 6 x plus 5 by x minus 1 using a division table. Shelia's Work Quotient Divisor x cubed negative 3 x squared plus x negative 5 x x to the 4th power negative 3 x cubed x squared cap A negative 1 negative x cubed 3 x squared cap b cap c What are the missing values in the table?

A
cap A is equal to 5 x ; cap b is equal to 1 x ; cap c is equal to 5
B
cap A is equal to negative 5 x ; cap b is equal to negative 1 x ; cap c is equal to 5
C
cap A is equal to negative 5 x ; cap b is equal to 1 x ; cap c is equal to 5
D
cap A is equal to 5 x ; cap b is equal to negative 1 x ; cap c is equal to 5
2
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What is the factored form of 2 x cubed plus 4 x squared minus x ?

A
x times open paren 2 x squared plus 4 x plus 1 close paren
B
x times open paren 2 x squared plus 4 x minus 1 close paren
C
2 x open paren x squared plus 2 x minus 1 close paren
D
2 x open paren x squared plus 2 x plus 1 close paren
6

What is the factored form of A squared minus 121 ?

A
open paren A minus 121 close paren times open paren A minus 1 close paren
B
open paren A minus 11 close paren times open paren A plus 11 close paren
C
open paren A plus 11 close paren times open paren A plus 11 close paren
D
open paren A minus 121 close paren times open paren A plus 1 close paren
8

What is the factored form of n squared minus 25 ?

A
open paren n minus 5 close paren times open paren n plus 5 close paren
B
open paren n plus 5 close paren times open paren n plus 5 close paren
C
open paren n minus 25 close paren times open paren n plus 1 close paren
D
open paren n minus 25 close paren times open paren n minus 1 close paren
9

A student factors 10 x squared plus 3 x minus 27 to the following. open paren 2 x minus 3 close paren times open paren 5 x plus 9 close paren Which statement about open paren 2 x minus 3 close paren times open paren 5 x plus 9 close paren is true?

A
The expression is not equivalent, but it is completely factored.
B
The expression is equivalent, and it is completely factored.
C
The expression is not equivalent, and it is not completely factored.
D
The expression is equivalent, but it is not completely factored.
12

Randy divides open paren 2 x to the 4th power minus 3 x cubed minus 3 x squared plus 7 x minus 3 close paren by open paren x squared minus 2 x plus 1 close paren as shown. What error does Randy make? Randy's Work Open image in full-screen view

A
He makes an error choosing the x -term in the quotient.
B
He makes a subtraction error.
C
He makes an error writing the constant term in the quotient.
D
He makes an error rewriting the problem in long division.
13

The volume of a rectangular prism is open paren x to the 4th power plus 4 x cubed plus 3 x squared plus 8 x plus 4 close paren , and the area of its base is open paren x cubed plus 3 x squared plus 8 close paren If the volume of a rectangular prism is the product of its base area and height, what is the height of the prism?

A
x plus 1 plus the fraction with numerator 4 and denominator x cubed plus 3 x squared plus 8
B
x plus 1 minus the fraction with numerator 4 and denominator x cubed plus 3 x squared plus 8
C
x plus 1 plus the fraction with numerator 4 and denominator x to the 4th power plus 4 x cubed plus 3 x squared plus 8 x plus 4
D
x plus 1 minus the fraction with numerator 4 and denominator x to the 4th power plus 4 x cubed plus 3 x squared plus 8 x plus 4
18

Isla is dividing 3 x cubed plus x squared minus 12 x minus 4 by x plus 2 using a division table. Isla's Work Quotient Divisor 3 x squared negative 5 x negative 2 x 3 x cubed negative 5 x squared negative 2 x plus 2 6 x squared cap A cap b What are the missing values in the table?

A
cap A is equal to negative 3 x ; cap b is equal to 0
B
cap A is equal to negative 10 x ; cap b is equal to 0
C
cap A is equal to negative 3 x ; cap b is equal to negative 4
D
cap A is equal to negative 10 x ; cap b is equal to negative 4
19

What is the completely factored form of x squared minus 16 x y plus 64 y squared ?

A
open paren x minus 8 y close paren times open paren x minus 8 y close paren
B
open paren x plus 8 y close paren times open paren x plus 8 y close paren
C
x y open paren x minus 16 plus 64 y close paren
D
x y open paren x plus 16 plus 64 y close paren

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