Quadratic in Form Polynomials — Unit test Answers

15 verified answers
21
Free Preview

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
22
Free Preview

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
23

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
24

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
25

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
26

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.
27

If f(–5) = 0, what are all the factors of the function ? Use the Remainder Theorem.

Question illustration
A
(x – 2)(x + 5)(x – 3)
B
(x + 2)(x – 5)(x + 3)
C
(x – 2)(x + 5)
D
(x + 2)(x – 5)
28

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).
29

A polynomial function has a root of –6 with multiplicity 3 and a root of 2 with multiplicity 4. If the function has a negative leading coefficient and is of odd degree, which could be the graph of the function?

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

Did you find these answers helpful?

Quadratic in Form Polynomials — Unit test…