AnswersFL-1200330-Algebra 2 CRGraphing Polynomial Functions

Graphing Polynomial Functions — Unit test Answers

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1
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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
2
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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
3

What are the roots of the polynomial equation ? Use a graphing calculator and a system of equations.

Question illustration
A
–24, –3, 12
B
–12, 3, 24
C
–4, –2, 3
D
–3, 2, 4
4

The formula for the volume of a cylinder with a height of 5 units is where r is the radius of the cylinder. In which quadrant(s) is the graph of this function V(r)?

Question illustration
A
quadrant I
B
quadrant II
C
quadrants I and II
D
quadrants I and III
5

Which statement best describes the equation x5 + x3 – 14 = 0?

A
The equation is quadratic in form because it is a fifth-degree polynomial.
B
The equation is quadratic in form because the difference of the exponent of the lead term and the exponent of the middle term is 2.
C
The equation is not quadratic in form because it cannot be rewritten as a second-degree polynomial.
D
The equation is not quadratic in form because the exponent of the lead term is not the square of the exponent of the middle term.
6

You can use a system of equations to graph and solve the polynomial equation . Which statement is true?

Question illustration
A
The system has one solution, and the equation has three zeroes.
B
The y-coordinates of the solutions to the system and the zeroes of the equation are not equal.
C
The x-coordinates of the solutions to the system and the zeroes of the equation are not equal.
D
The equation has one zero, and the system has three solutions.
7

What are the solutions of the equation x4 – 5x2 – 36 = 0? Use factoring to solve.

A
x = ±2 and x = ±3
B
x = ±2i and x = ±3
C
x = ±2 and x = ±3i
D
x = ±2i and x = ±3i
8

What are the solutions of the equation (x + 2)2 + 12(x + 2) – 14 = 0? Use u substitution and the quadratic formula to solve.

A
x = negative 8 plus-or-minus 5 StartRoot 2 EndRoot
Option A
B
x = negative 6 plus-or-minus 5 StartRoot 2 EndRoot
Option B
C
x = negative 4 plus-or-minus 5 StartRoot 2 EndRoot
Option C
D
x = negative 2 plus-or-minus 5 StartRoot 2 EndRoot
Option D
9

What are the roots of the polynomial equation ? Use a graphing calculator and a system of equations.

Question illustration
A
–2, –1, 0, 2
B
–2, 0, 1, 2
C
–1, 0
D
0, 1
10

What are the solutions of the equation (x + 2)2 – 2(x + 2) – 15 = 0? Use u substitution to solve.

A
x = –7 and x = 1
B
x = –5 and x = 3
C
x = –3 and x = 5
D
x = –1 and x = 7
11

Which term, when added to the given polynomial, will change the end behavior of the graph? y = 14x8 – 6x5 – 2x4 – 10

A
–6x9
B
–5x7
C
5x8
D
6x10
12

A rectangular prism with a volume of 400 cubic centimeters has the dimensions x + 1 centimeters, 2x centimeters, and x + 6 centimeters. The equation can be used to find x. What is the length of the longest side? Use a graphing calculator and a system of equations to find the answer.

Question illustration
A
4 centimeters
B
5 centimeters
C
8 centimeters
D
10 centimeters
13

Which best describes the end behavior of ?

Question illustration
A
As x > 0 increases, f(x) decreases. As x < 0 decreases, f(x) decreases.
B
As x > 0 increases, f(x) increases. As x < 0 decreases, f(x) decreases.
C
As x > 0 increases, f(x) increases. As x < 0 decreases, f(x) increases.
D
As x > 0 increases, f(x) decreases. As x < 0 decreases, f(x) increases.
14

Which of the following could be the graph of y = –xn where n is odd?

A
mc014-1.jpg
Option A
B
mc014-2.jpg
Option B
C
mc014-3.jpg
Option C
D
mc014-4.jpg
Option D
15

Which expression is a possible leading term for the polynomial function graphed below?

Question illustration
A
–18x14
B
–10x7
C
17x12
D
22x9

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