AnswersINMT3 Integrated Math 3 Sem 1 26-27Introduction to Polynomials

Introduction to Polynomials — Unit test Answers

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What is the remainder when (3x3 – 2x2 + 4x – 3) is divided by (x2 + 3x + 3)?

30
Option
3x – 11
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28x – 36
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28x + 30
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2
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Which expression shows the sum of the polynomials with like terms grouped together?

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3

What is the quotient of (2x4 – 3x3 – 3x2 + 7x – 3) ÷ (x2 – 2x + 1)?

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2x2 + x – 3 –
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Option 2x2 + x – 3 –
2x2 – x
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2x2 + x – 3
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4

The length of a rectangular field is represented by the expression . The width of the field is represented by the expression . How much greater is the length of the field than the width?

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5

What is the completely factored form of 12xy – 9x – 8y + 6?

A
(3x – 2)(4y – 3)
B
3x(4y – 3) – 2(4y + 3)
C
–6x(4y – 3)(4y – 3)
D
(3x – 2)(4y – 3)(4y – 3)
6

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.
7

best

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It is in standard form because the exponents are in order from lowest to highest.
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It is in standard form because the coefficients are in order from lowest to highest.
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It is not in standard form because the exponents are not in order from highest to lowest.
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It is not in standard form because it can be further simplified.
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8

What is the completely factored form of ?

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A
(2x - 5)(3x + 1)
B
(2x + 5)(3x - 1)
C
(2x - 1)(3x - 5)
D
(2x + 1)(3x + 5)
9

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?

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10

Dylan uses the expressions (x2 – 2x + 8) and (2x2 + 5x – 7) to represent the length and width of his bedroom. Which expression represents the area (lw) of Dylan’s room?

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11

Which expression is equivalent to ?

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12

The degree of the polynomial is 10. What is the value of k?

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3
B
5
C
8
D
10
15

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

A
–mn + 10m + 5n
B
–mn – 34m + 5n
C
–mn – 34m + 9n
D
29mn – 34m + 9n
16

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

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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.
17

Which expression is equivalent to ?

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18

Which polynomial is in standard form?

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19

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
20

A student factors 15c2 + c – 28 to the following. (c + 2)(15c – 14) Which statement about (c + 2)(15c – 14) is true?

A
The expression is equivalent, and it is completely factored.
B
The expression is equivalent, but it is not completely factored.
C
The expression is not equivalent, but it is completely factored.
D
The expression is not equivalent, and it is not completely factored.
21

Which polynomial is in standard form?

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22

Which statement about 4x2 + 19x – 5 is true?

A
One of the factors is (x – 4).
B
One of the factors is (4x + 1).
C
One of the factors is (4x – 5).
D
One of the factors is (x + 5).

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