AnswersAZ-Common Core Algebra II ALaws of Exponents

Synthetic Division and the Remainder Theorem Answers

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1
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Identify the polynomial divisor, dividend, and quotient represented by the synthetic division. Divisor:

Question illustration
A
–3
B
3
C
x – 3
D
x + 3
2
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Find the quotient.(5x4 – 3x2 + 4) ÷ (x + 1)

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
3

Use synthetic division to find the expression for the area of the base of a rectangular prism with height x + 4 and volume x3 + 2x2 – 17x – 36.

A
2x2 – 9x
B
x2 + 6x – 24
C
x2 – 2x – 9
D
–4x2 + 8x + 36
4

Find the quotient.(2x4 – 3x3 – 6x2 + 11x + 8) ÷ (x – 2)

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
5

Select all of the factors of x3 + 5x2 + 2x – 8.

A
x + 5
B
x – 3
C
x + 4
D
x – 1
E
x + 3
F
x + 2
6

Select all of the roots of x3 + 2x2 – 16x– 32.

A
–1
B
–2
C
–4
D
1
E
4
F
5
7

The price received for a bicycle is given by the equation b = 100 – 10x2, where x is the number of bicycles produced, in millions.It costs the company $60 to make each bicycle.What is the profit function for the company?

A
P = –10x2 – 60x + 100
B
P = –10x3 + 40x
C
P = – 10x2 + 40
8

The company recently reduced its production to 1 million bicycles, but maintained its profit of 30 million dollars. What greater number of bicycles had the company previously produced to make the same profit? Round your answer to the nearest tenth. million bicycles

Answer:

1.3

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