AnswersAlgebra 2 with ProbabilityPolynomials

Polynomials — Test Answers

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1
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What is the quotient of open paren x cubed minus 3 x squared plus 3 x minus 2 close paren divided by open paren x squared minus x plus 1 close paren ?

A
x minus 2
B
x minus 4
C
x plus 1
D
x plus 2
2
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Which polynomial is in standard form?

A
5 x to the 7th power y squared plus 7 x to the 6th power y to the 5th power minus 14 x cubed y to the 7th power plus 51 x squared y to the 9th power
B
2 x y cubed plus 3 x cubed y to the 4th power minus 4 x to the 4th power y to the 5th power plus 9 x to the 5th power y to the 6th power
C
x cubed y squared minus 3 x squared y minus 9 x to the 4th power y cubed plus 11 x
D
8 x to the 5th power minus 5 y to the 4th power minus 2 x y to the 5th power plus x squared y
3

The degree of the polynomial 10 x squared plus 2 x to the m th power y minus 4 y is 3 What is the value of m ?

A
2
B
1
C
3
D
4
4

Which statement about negative 2 h squared minus 15 h minus 7 is true?

A
One of the factors is open paren h minus 7 close paren .
B
One of the factors is open paren 2 h plus 1 close paren .
C
One of the factors is open paren 3 h minus 2 close paren .
D
One of the factors is open paren h plus 2 close paren .
5

What is the factored form of 27 d to the 6th power plus 8 12th power of g ?

A
open paren 3 d squared plus 2 4th power of g close paren times open paren 9 d to the 4th power plus 6 d squared 4th power of g plus 4 8th power of g close paren
B
open paren 3 d squared plus 2 4th power of g close paren times open paren 3 d to the 4th power minus 6 d squared 4th power of g plus 2 8th power of g close paren
C
open paren 3 d squared plus 2 4th power of g close paren times open paren 3 d squared minus 6 d squared 4th power of g plus 2 4th power of g close paren
D
open paren 3 d squared plus 2 4th power of g close paren times open paren 9 d to the 4th power minus 6 d squared 4th power of g plus 4 8th power of g close paren
6

Which polynomial is in standard form?

A
7 x to the 7th power plus 14 x to the 9th power minus 17 x plus 25
B
13 x to the 5th power plus 11 x minus 6 x squared plus 5
C
12 x to the 5th power minus 6 x squared minus 9 x plus 12
D
9 plus 2 x minus 8 x to the 4th power plus 16 x to the 5th power
7

What is the remainder when (x^4+36) is divided by (x^2−8) ?

A
100
B
36
C
64
D
117
8

Which expression is equivalent to the fraction with numerator open paren 5 4th power of g plus 5 g cubed minus 17 g squared plus 6 g close paren minus open paren 3 4th power of g plus 6 g cubed minus 7 g squared minus 12 close paren and denominator g plus 2 ?

A
2 4th power of g minus g cubed minus 10 g squared plus 6 g plus 12
B
2 g cubed minus 5 g squared plus 6
C
2 4th power of g plus 11 g cubed minus 24 g squared plus 6 g minus 12
D
2 g cubed minus 5 g squared plus 18
9

A cube with side length 5 h squared is stacked on another cube with side length 3 k What is the total volume of the cubes in factored form?

A
open paren 5 h squared plus 3 k close paren times open paren 25 4th power of h minus 15 h squared k plus 9 k squared close paren
B
open paren 5 h squared plus 3 k close paren cubed
C
open paren 5 h squared close paren cubed plus 3 k cubed
D
open paren 5 h squared plus 3 k close paren times open paren 25 4th power of h plus 15 h squared k plus 9 k squared close paren
10

What is the cube root of negative 1 comma 000 p to the 12th power q cubed ?

A
10 p to the 4th power q
B
negative 10 p to the 4th power
C
negative 10 p to the 4th power q
D
10 p to the 4th power
11

Which expression is equivalent to 10 minus open paren 2 x cubed plus 11 x squared minus 2 x minus 35 close paren divided by open paren x plus 5 close paren plus 6 times open paren 4 x squared close paren ?

A
22 x squared plus x plus 3
B
22 x squared minus x plus 17
C
22 x squared minus x plus 7
D
22 x squared minus x plus 3
12

Which expression is equivalent to 7 minus 2 z minus 4 times open bracket z cubed minus the fraction with numerator z cubed plus 4 z squared plus 11 z plus 14 and denominator z plus 2 close bracket ?

A
negative 18 z plus 10
B
negative 4 z cubed plus 4 z squared plus 6 z plus 35
C
negative 18 z minus 5
D
negative 4 z cubed plus 4 z squared minus 10 z minus 21
13

If f of x is equal to 3 x squared minus 4 and g of x is equal to 2 x minus 6 , what is g of f of 2 ?

A
negative 2
B
8
C
negative 16
D
10
14

The missing term in the following polynomial has a degree of 5 and a coefficient of 16 square plus 13 x to the 6th power minus 11 x cubed minus 9 x squared plus 5 x minus 2 Which statement best describes the polynomial?

A
It is not in standard form because the degree of the first term is not greater than six.
B
It is not in standard form because the degree of the first term should be equal to zero.
C
It is in standard form because the coefficients are in order from highest to lowest.
D
It is in standard form because the exponents are in order from highest to lowest.
15

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 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
B
x plus 1 plus 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 cubed plus 3 x squared plus 8
16

Ryan buys a helmet for 20 dollars and a bike that is on sale for 25 dollars off. At the register, the cashier takes an additional 10 percent off the total purchase. If the initial price of the bike is 260 dollars , what is the final amount Ryan will pay?

A
229 point 0 0 dollars
B
229 point 5 0 dollars
C
193 point 5 0 dollars
D
207 point 0 0 dollars
17

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 rewriting the problem in long division.
B
He makes a subtraction error.
C
He makes an error writing the constant term in the quotient.
D
He makes an error choosing the x -term in the quotient.
18

Let f of x is equal to negative 4 x and g of x is equal to 5 x squared Andrew finds the composition open bracket f circ g close bracket times x as shown. What error did Andrew make? is equal to 5 times open paren negative 4 x close paren squared is equal to 5 times open paren 16 x squared close paren ​​​​​​​ is equal to 80 x squared

A
The coefficient of f of x was squared incorrectly.
B
The negative sign for f of x was not included in the calculation.
C
The composition was done in the incorrect order.
D
The coefficients should be multiplied and then squared.
19

What is the degree of 5 x cubed plus 3 x squared minus 4 x plus 1 ?

A
6
B
5
C
3
D
4
20

Which expression is equivalent to 3 plus 4 y minus y times open paren 9 minus 2 y close paren plus 5 ?

A
8 minus 7 y
B
2 y squared minus 5 y plus 8
C
negative 2 y squared minus 5 y plus 8
D
negative 6 y squared plus 27 y plus 8

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