AnswersFL-1200330-Algebra 2 CRGraphing Polynomial Functions

Graphing Polynomial Functions — Unit test Answers

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The volume of a rectangular prism is given by the formula V = lwh, where l is the length of the prism, w is the width, and h is the height. Which expression represents the volume of the following rectangular prism?

Question illustration
A
mc022-2.jpg
Option A
B
mc022-3.jpg
Option B
C
mc022-4.jpg
Option C
D
mc022-5.jpg
Option D
2
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What is the factored form of ?

Question illustration
A
mc022-2.jpg
Option A
B
mc022-3.jpg
Option B
C
mc022-4.jpg
Option C
D
mc022-5.jpg
Option D
3

What is the ninth term in the binomial expansion of (x – 2y)13?

A
329,472x5y8
B
–329,472x5y8
C
–41,184x8y5
D
41,184x8y5
4

The polynomial function f(x) = 3x5 – 2x2 + 7x models the motion of a roller coaster. The roots of the function represent when the roller coaster is at ground level. Which answer choice represents all potential values of when the roller coaster is at ground level? Begin by factoring x to create a constant term.

A
0, , 1, , 3
Option A
B
0, , 1, , 7
Option B
C
, 1, , 3
Option C
D
, 1, , 7
Option D
5

The area of a rectangle is (x3 – 5x2 + 3x – 15), and the width of the rectangle is (x2 + 3). If area = length × width, what is the length of the rectangle?

A
x + 5
B
x – 15
C
x + 15
D
x – 5
6

The side length, s, of a cube is 3x + 2y. If V = s3, what is the volume of the cube?

A
3x3 + 18x2y + 36xy2 + 8y3
B
27x3 + 54x2y + 18xy2 + 2y3
C
27x3 + 18x2y + 12xy2 + 2y3
D
27x3 + 54x2y + 36xy2 + 8y3
7

Which statement about the polynomial function g(x) is true?

A
If all rational roots of g(x) = 0 are integers, the leading coefficient of g(x) must be 1.
B
If all roots of g(x) = 0 are integers, the leading coefficient of g(x) must be 1.
C
If the leading coefficient of g(x) is 1, all rational roots of g(x) = 0 must be integers.
D
If the leading coefficient of g(x) is 1, all roots of g(x) = 0 must be integers.
8

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).
9

Anja divides (8x3 – 36x2 + 54x – 27) by (2x – 3) as shown below. What error does Anja make?

Question illustration
A
She makes a subtraction error.
B
She makes an error choosing the x-term in the quotient.
C
She makes a multiplication error.
D
She makes an error rewriting the problem in long division.
10

Which statement about the simplified binomial expansion of (a + b2)n, where n is a positive integer, is true?

A
The exponent of b will always be even.
B
The exponent of a will always be odd.
C
The sum of the exponents of a and b will always equal n.
D
The sum of the exponents of a and b will always equal n – 1.
11

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.
12

Holly finds that (11m – 13n + 6mn) – (10m – 7n + 3mn) = m – 20n + 9mn. What error did Holly make?

A
She only used the additive inverse of 10m when combining like terms.
B
She added the polynomials instead of subtracting.
C
She only used the additive inverses of –7n and 3mn when combining like terms.
D
She did not combine all like terms.
13

Subtract 15mn – 22m +2n from 14mn – 12m +7n.

A
–mn + 10m + 5n
B
–mn – 34m + 5n
C
–mn – 34m + 9n
D
29mn – 34m + 9n
14

What are the coefficients for the binomial expansion of (a + b)3?

A
1, 4, 6, 4, 1
B
1, 1
C
1, 2, 1
D
1, 3, 3, 1
15

Which expression is equivalent to ?

Question illustration
A
mc014-2.jpg
Option A
B
mc014-3.jpg
Option B
C
mc014-4.jpg
Option C
D
mc014-5.jpg
Option D

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