AnswersFL-1200330-Algebra 2 CRGraphing Polynomial Functions

Graphing Polynomial Functions — Unit test Answers

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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
2
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Which statement describes the graph of this polynomial function?

Question illustration
A
The graph crosses the x-axis at x = 2 and x = –1 and touches the x-axis at x = 0.
B
The graph touches the x-axis at x = 2 and x = –1 and crosses the x-axis at x = 0.
C
The graph crosses the x-axis at x = –2 and x = 1 and touches the x-axis at x = 0.
D
The graph touches the x-axis at x = –2 and x = 1 and crosses the x-axis at x = 0.
3

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
4

Which expression is a difference of cubes?

A
mc014-1.jpg
Option A
B
mc014-2.jpg
Option B
C
mc014-3.jpg
Option C
D
mc014-4.jpg
Option D
5

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.
6

According to the Rational Root Theorem, the following are potential roots of f(x) = 6x4 + 5x3 – 33x2 – 12x + 20., –2, 1, Which is an actual root of f(x)?

Question illustration
A
Negative five-halves
Option A
B
–2
C
1
D
Ten-thirds
Option D
7

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
8

A polynomial function has a root of –7 with multiplicity 2, a root of –1 with multiplicity 1, a root of 2 with multiplicity 4, and a root of 4 with multiplicity 1. If the function has a positive leading coefficient and is of even degree, which statement about the graph is true?

A
The graph of the function is positive on (2, 4).
B
The graph of the function is negative on (4, ).
Option B
C
The graph of the function is positive on (, –7).
Option C
D
The graph of the function is negative on (–7, –1).

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