AnswersFL-1200330-Algebra 2 CRGraphing Polynomial Functions

Graphing Polynomial Functions — Unit test Answers

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The price that a company charged for a computer accessory is given by the equation where x is the number of accessories that are produced, in millions. It costs the company $10 to make each accessory. The company currently produces 2 million accessories and makes a profit of 100 million dollars. What other number of accessories produced yields the same profit?

Question illustration
A
1.45 million
B
3.45 million
C
40 million
D
48 million
2
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What is the end behavior of the graph of the polynomial function f(x) = –x5 + 9x4 – 18x3?

A
As , and as , .
Option A
B
As , and as , .
Option B
C
As , and as , .
Option C
D
As , and as , .
Option D
3

If (x + k) is a factor of f(x), which of the following must be true?

A
f(k) = 0
B
f(–k) = 0
C
A root of f(x) is x = k.
D
A y intercept of f(x) is x = –k.
4

Which second degree polynomial function has a leading coefficient of 2 and roots –3 and 5?

A
f(x) = 2x2 + 4x – 30
B
f(x) = 2x2 + 2x – 15
C
f(x) = 2x2 – 4x – 30
D
f(x) = 2x2 – 2x – 15
5

Which second degree polynomial function f(x) has a lead coefficient of 3 and roots 4 and 1?

A
f(x) = 3x2 + 5x + 4
B
f(x) = 3x2 + 15x + 12
C
f(x) = 3x2 – 5x + 4
D
f(x) = 3x2 – 15x + 12
6

What is the remainder when (3x3 – 2x2 + 4x – 3) is divided by (x2 + 3x + 3)?

A
30
B
3x – 11
C
28x – 36
D
28x + 30
7

What is the cube root of

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A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
8

What is the quotient of (2x4 – 3x3 – 3x2 + 7x – 3) ÷ (x2 – 2x + 1)?

A
2 x Superscript 4 Baseline minus 3 x cubed minus eleven-halves
Option A
B
2x2 + x – 3 –
Option B
C
2x2 – x
D
2x2 + x – 3
9

What is the factored form of ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
10

If (x – 5) is a factor of f(x), which of the following must be true?

A
A root of f(x) is x = –5.
B
A root of f(x) is x = 5.
C
Both x = –5 and x = 5 are roots of f(x).
D
Neither x = –5 nor x = 5 is a root of f(x).
11

Which polynomial function has x-intercepts –1, 0, and 2 and passes through the point (1, –6)?

A
f(x) = x3 – x2 – 2x
B
f(x) = 3x3 – 3x2 – 6x
C
f(x) = x3 + x2 – 2x
D
f(x) = 3x3 + 3x2 – 6x

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