AnswersFL-1200710-Mathematics for College Algebra AAdding and Subtracting Polynomials

Adding and Subtracting Polynomials — Unit test Answers

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1
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The model represents a polynomial of the form ax2 + bx + c.

Question illustration
A
3x2 – 4x – 1 = (3x + 1)(x – 1)
B
3x2 – 2x – 1 = (3x – 1)(x + 1)
C
3x2 – 4x + 1 = (3x – 1)(x – 1)
D
3x2 – 2x + 1 = (3x – 1)(x – 1)
2
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What is the product of (2p + 7)(3p2 + 4p – 3)?

A
6p3 + 29p2 – 34p + 21
B
6p3 + 29p2 – 22p + 21
C
6p3 + 29p2 + 22p – 21
D
6p3 + 29p2 + 34p – 21
3

The formula for the area of a parallelogram is A = bh, where b is the base and h is the height.

Question illustration
A
–4x3 + 14x – 24 square centimeters
B
2x3 – 6x2 – 14x + 24 square centimeters
C
–4x3 – 14x + 24 square centimeters
D
2x3 + 6x2 + 14x + 24 square centimeters
4

Which binomial is a factor of 9x2 – 64?

A
3x – 8
B
9x – 32
C
3x + 32
D
9x + 8
5

The partial factorization of x2 – x – 12 is modeled with algebra tiles.

Question illustration
A
3 negative unit tiles
B
3 positive unit tiles
C
4 negative unit tiles
D
4 positive unit tiles
7

Which model represents the factors of x2 + 9x + 8?

A
An algebra tile configuration. 7 tiles are in the Factor 1 spot: 1 is labeled + x and 6 are labeled +. 4 tiles are in the Factor 2 spot: 1 is labeled + x and 3 are labeled +. 28 tiles are in the Product spot: 1 is labeled + x squared, 9 are labeled + x, 9 are labeled +, and 9 are labeled negative.
Option A
B
An algebra tile configuration. 5 tiles are in the Factor 1 spot: 1 is labeled + x and 4 are labeled +. 3 tiles are in the Factor 2 spot: 1 is labeled + x and 2 are labeled +. 15 tiles are in the Product spot: 1 is labeled + x squared, 6 are labeled + x, and 8 are labeled +.
Option B
C
An algebra tile configuration. 6 tiles are in the Factor 1 spot: 1 is labeled + x and 5 are labeled +. 4 tiles are in the Factor 2 spot: 1 is labeled + x and 3 are labeled +. 24 tiles are in the Product spot: 1 is labeled + x squared, 8 are labeled + x, 9 are labeled +, and 6 are labeled negative.
Option C
D
An algebra tile configuration. 9 tiles are in the Factor 1 spot: 1 is labeled + x and 8 are labeled +. 2 tiles are in the Factor 2 spot: 1 is labeled + x and 1 is labeled +. 18 tiles are in the Product spot: 1 is labeled + x squared, 9 are labeled + x, and 8 are labeled +.
Option D
10

Which expression is equivalent to 6x2 – 19x – 55?

A
(2x – 11)(3x + 5)
B
(2x + 11)(3x – 5)
C
(6x – 11)(x + 5)
D
(6x + 11)(x – 5)
12

Which is a factor of x2 + 8x – 48?

A
(x – 6)
B
(x + 4)
C
(x – 16)
D
(x + 12)
14

Adi used algebra tiles to represent the product .

Question illustration
A
She used the algebra tiles correctly.
B
She did not represent the two original factors correctly on the headers.
C
The signs on some of the products are incorrect.
D
Some of the products do not show the correct powers of x.
15

Simplify the expression –2(p + 4)2 – 3 + 5p. What is the simplified expression in standard form?

A
–2p2 – 11p – 35
B
2p2 + 21p + 29
C
–2p2 + 13p + 13
D
4p2 + 37p – 67
19

Which will result in a difference of squares?

A
(negative 7 x + 4)(negative 7 x + 4)
Option A
B
(negative 7 x + 4)(4 minus 7 x)
Option B
C
(negative 7 x + 4)(negative 7 x minus 4)
Option C
D
(negative 7 x + 4)(7 x minus 4)
Option D
20

The diagram represents a difference of squares.

Question illustration
A
(m – 2)(m + 18)
B
(m – 3)(m + 3)
C
(m – 4)(m + 9)
D
(m – 6)(m + 6)

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