The Binomial Theorem — Unit test Answers

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Which statement about the simplified binomial expansion of (a + b2)n, where n is a positive integer, is true?

A
The exponent of b will always be even.
B
The exponent of a will always be odd.
C
The sum of the exponents of a and b will always equal n.
D
The sum of the exponents of a and b will always equal n – 1.
2
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The degree of the polynomial is 10. What is the value of k?

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A
3
B
5
C
8
D
10
3

What are the coefficients for the binomial expansion of (a + b)3?

A
1, 4, 6, 4, 1
B
1, 1
C
1, 2, 1
D
1, 3, 3, 1
4

Logan saves the same amount of money each month for college. His current total savings is 300m2 + 120m + 180 dollars. Which factorization could represent the number of months and amount of a monthly deposit in dollars?

A
4m(75m2 + 30m +40)
B
10m(30m2 + 12m +18)
C
30(10m2 +4m + 60)
D
60(5m2 +2m +3)
5

The side length, s, of a cube is 3x + 2y. If V = s3, what is the volume of the cube?

A
3x3 + 18x2y + 36xy2 + 8y3
B
27x3 + 54x2y + 18xy2 + 2y3
C
27x3 + 18x2y + 12xy2 + 2y3
D
27x3 + 54x2y + 36xy2 + 8y3
6

Which is a factor of 144 − 49x2?

A
12 - 7x2
B
72 – 7x2
C
12 – 7x
D
72 + 7x

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