AnswersINMT3 Integrated Math 3 Sem 1 26-27Unit Test

Unit Test — Unit test Answers

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Which statement describes how the graph of the given polynomial would change if the term –3x6 is added?y = 2x6 + 9x5 – 7x3 – 1

A
Both ends of the graph will approach negative infinity.
B
The ends of the graph will extend in opposite directions.
C
Both ends of the graph will approach positive infinity.
D
The ends of the graph will approach zero.
22
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The polynomial function is graphed below.Which is a potential rational root of f(x) at point P?

Question illustration
A
The root at point P may be .
Option A
B
The root at point P may be .
Option B
C
The root at point P may be .
Option C
D
The root at point P may be .
Option D
23

Which graph can be used to find the solution(s) to 4x = –4x?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
24

The price that a company charged for a basketball hoop is given by the equation where x is the number of hoops that are produced, in millions. It costs the company $30 to make each basketball hoop. The company recently reduced its production to 1 million hoops but maintained its profit of 15 million dollars. Approximately how many basketball hoops did the company previously produce to make the same profit?

Question illustration
A
1.3 million hoops
B
1.4 million hoops
C
15 million hoops
D
30 million hoops
25

Which expression represents the sixth term in the binomial expansion of (5y + 3)10?

A
10C5(5y)5(3)5
B
10C6(5y)4(3)6
C
510C5(y)5(3)5
D
510C6(y)4(3)6
26

What is the completely factored form of f(x) = 6x3 – 13x2 – 4x + 15?

A
(x + 1)(6x2 – 19x + 15)
B
(x + 1)2(2x – 3)
C
(x + 1)(3x – 2)(5x – 3)
D
(x + 1)(2x – 3)(3x – 5)
27

If (x – 2k) is a factor of f(x), which of the following must be true?

A
f(2k) = 0
B
f(–2k) = 0
C
A root of f(x) is x = –2k.
D
A y intercept of f(x) is x = 2k.
28

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

Question illustration
A
–4x8
B
–4x5
C
4x5
D
4x8
29

Which statement describes the graph of this polynomial function?

Question illustration
A
The graph crosses the x-axis at x = 0 and touches the x-axis at x = 3.
B
The graph touches the x-axis at x = 0 and crosses the x-axis at x = 3.
C
The graph crosses the x-axis at x = 0 and touches the x-axis at x = –3.
D
The graph touches the x-axis at x = 0 and crosses the x-axis at x = –3.
30

A polynomial function has a root of –6 with multiplicity 1, a root of –2 with multiplicity 3, a root of 0 with multiplicity 2, and a root of 4 with multiplicity 3. If the function has a positive leading coefficient and is of odd degree, which statement about the graph is true?

A
The graph of the function is positive on (–6, –2).
B
The graph of the function is negative on (, 0).
Option B
C
The graph of the function is positive on (–2, 4).
D
The graph of the function is negative on (4, ).
Option D
31

Which polynomial function has a leading coefficient of 2, root –4 with multiplicity 3, and root 10 with multiplicity 1?

A
f(x) = 2(x – 4)(x – 4)(x – 4)(x + 10)
B
f(x) = 2(x + 4)(x + 4)(x + 4)(x – 10)
C
f(x) = 3(x – 4)(x – 4)(x + 10)
D
f(x) = 3(x + 4)(x + 4)(x – 10)
32

Carlos graphed the system of equations that can be used to solve .What are the roots of the polynomial equation?

Question illustration
A
–3, –2, 3
B
–3, 2
C
18, 32
D
18, 32, 66
33

Which is the polynomial function of lowest degree with rational real coefficients, a leading coefficient of 3 and roots and 2?

Question illustration
A
f (x) = 3 x cubed minus 6 x squared minus 15 x + 30
Option A
B
f (x) = x cubed minus 2 x squared minus 5 x + 10
Option B
C
f (x) = 3 x squared minus 21 x + 30
Option C
D
f (x) = x squared minus 7 x + 10
Option D
34

Let a, b, and c be real numbers where a b c 0. Which of the following functions could represent the graph below?

Question illustration
A
f(x) = x2(x – a)2(x – b)4(x – c)
B
f(x) = x3(x – a)3(x – b)(x – c)2
C
f(x) = x4(x – a)(x – b)3(x – c)3
D
f(x) = (x – a)2(x – b)(x – c)6
35

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

A
x3 – 6x2y + 12xy2 – 8y3
B
x3 + 6x2y + 12xy2 + 8y3
C
3x3 – 6x2y + 12xy2 – 24y3
D
3x3 + 6x2y + 12xy2 + 24y3

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