AnswersMVP MSD Common Core Algebra II A - MA3111 ICThe Binomial Theorem

The Binomial Theorem — Unit test Answers

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Vanessa uses the expressions (3x2 + 5x + 10) and (x2 – 3x – 1) to represent the length and width of her patio. Which expression represents the area (lw) of Vanessa’s patio?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
2
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What is the quotient of (x3 – 3x2 + 3x – 2) ÷ (x2 – x + 1)?

A
x – 2
B
x + 2
C
x – 4
D
x + 1
3

What is the product?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
4

A square with an area of A2 is enlarged to a square with an area of 25A2. How was the side of the smaller square changed?

A
The side length was increased by 5.
B
The side length was multiplied by 5.
C
The side length was increased by 10.
D
The side length was multiplied by 10.
5

Which statement about –2h2 – 15h – 7 is true?

A
One of the factors is (h + 2).
B
One of the factors is (3h – 2).
C
One of the factors is (2h + 1).
D
One of the factors is (h – 7).
6

Which expression is equivalent to ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
7

Which terms could have a greatest common factor of 5m2n2? Select two options.

A
m5n5
B
5m4n3
C
10m4n
D
15m2n2
E
24m3n4
8

The expression 40x2 – 65x + 50 represents the sum of the interior angles of a regular pentagon in degrees. If the interior angles of the pentagon are equal, which expression represents the measure of two angles?

A
2x2(20 – 32x + 25x2)
B
2(8x2 – 13x +10)
C
5x2(8x2 – 13x + 10)
D
5(3x2 – 8x + 5)
9

What is the degree of ?

Question illustration
A
3
B
4
C
5
D
6
10

The missing term in the following polynomial has a degree of 5 and a coefficient of 16. Which statement best describes the polynomial?

Question illustration
A
It is not in standard form because the degree of the first term is not greater than six.
B
It is not in standard form because the degree of the first term should be equal to zero.
C
It is in standard form because the exponents are in order from highest to lowest.
D
It is in standard form because the coefficients are in order from highest to lowest.
11

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)
12

The volume of a rectangular prism is (x4 + 4x3 + 3x2 + 8x + 4), and the area of its base is (x3 + 3x2 + 8). If the volume of a rectangular prism is the product of its base area and height, what is the height of the prism?

A
x + 1 minus StartFraction 4 Over x Superscript 4 Baseline + 4 x cubed + 3 x squared + 8 x + 4 EndFraction
Option A
B
x + 1 + StartFraction 4 Over x Superscript 4 Baseline + 4 x cubed + 3 x squared + 8 x + 4 EndFraction
Option B
C
x + 1 minus StartFraction 4 Over x cubed + 3 x squared + 8 EndFraction
Option C
D
x + 1 + StartFraction 4 Over x cubed + 3 x squared + 8 EndFraction
Option D
13

Which statement about the simplified binomial expansion of (a – b)n, where a, b and n are positive integers, is true?

A
All terms of the expansion are positive.
B
All terms in the expansion are negative.
C
The first term in the expansion is positive.
D
The first term in the expansion is negative.
14

What is the difference of the polynomials?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
15

What is the completely factored form of p4 – 16?

A
(p – 2)(p – 2)(p + 2)(p + 2)
B
(p – 2)(p – 2)(p – 2)(p – 2)
C
(p minus 2) (p + 2) (p squared + 2 p + 4)
Option C
D
(p minus 2) (p + 2) (p squared + 4)
Option D
16

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
17

Which monomials are perfect squares? Select three options.

A
6x2
B
9x8
C
17x9
D
25x12
E
36x16
18

What is the greatest common factor of 8x and 40y?

A
8
B
8xy
C
320
D
320xy
19

A square has a perimeter of 12x + 52 units. Which expression represents the side length of the square in units?

A
x + 4
B
x + 40
C
3x + 13
D
3x + 43
20

Which polynomial is in standard form?

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

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