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# College Algebra 12th

## Educators

### Problem 1

Fill in the blanks. In the expansion of a binomial, there will be one more term than the $____$ of the binomial.

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### Problem 2

Fill in the blanks. The $____$ of each term in a binomial expansion is the same as the exponent of the binomial.

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### Problem 3

Fill in the blanks. The Answer $____$ term in a binomial expansion is the first term raised to the power of the binomial.

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### Problem 4

Fill in the blanks. In the expansion of $(a+b)^{n},$ the $\quad\quad$ on $a$ decrease by 1 in each successive term.

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### Problem 5

Fill in the blanks. Expand 7!:

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### Problem 6

Fill in the blanks. $$0 !=____$$

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### Problem 72

Determine if the statement is true or false. If the statement is false, then correct it and make it true. The first term in the expansion of $(a+b)^{999}$ is $a^{999}$

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### Problem 73

Determine if the statement is true or false. If the statement is false, then correct it and make it true. The last term in the expansion of $(a-b)^{888}$ is $b^{888}$

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### Problem 74

Determine if the statement is true or false. If the statement is false, then correct it and make it true. For the expansion of $(a+b)^{n \pi}$, the exponents on $a$ increase by 1 in each successive term.

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### Problem 75

Determine if the statement is true or false. If the statement is false, then correct it and make it true. For the expansion of $(a-b)^{666},$ the exponents on $b$ decrease by 1 in each successive term.

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### Problem 76

Determine if the statement is true or false. If the statement is false, then correct it and make it true. For the expansion of $(a-b)^{\text {cos }},$ the exponents on $b$ decrease by 1 in each successive term.

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### Problem 77

Determine if the statement is true or false. If the statement is false, then correct it and make it true. The number of terms in the binomial expansion of $(a-b)^{444}$ is 444

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### Problem 78

Determine if the statement is true or false. If the statement is false, then correct it and make it true. To find the binomial expansion of $\left(x^{333}-y^{222}\right)^{111},$ it is helpful to rewrite the expression inside the parentheses as $x^{333}+\left(-y^{222}\right)$

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### Problem 79

Determine if the statement is true or false. If the statement is false, then correct it and make it true. The constant term in the expansion of $\left(a-\frac{1}{a}\right)^{10}$ is 252

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### Problem 80

Determine if the statement is true or false. If the statement is false, then correct it and make it true. The coefficient of $x^{5}$ in the expansion of $\left(x-\frac{1}{x}\right)^{9}$ is 36

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