Exam 5: Exponents and Polynomials

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Write the expression with a single exponent. (Assume all variables are positive numbers.) Write the expression with a single exponent. (Assume all variables are positive numbers.)

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Simplify the expression, and write your answer in scientific notation. Simplify the expression, and write your answer in scientific notation.

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Perform the indicated operations. Perform the indicated operations.

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Divide. Divide.

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Identify the polynomial as a trinomial, binomial, or monomial, and give the degree. Identify the polynomial as a trinomial, binomial, or monomial, and give the degree.

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Suppose you have two squares, one of which is larger than the other. Suppose further that the side of the larger square is three times as long as the side of the smaller square. If the length of the side of the smaller square is x , find the area of each square. Then find the number of smaller squares it will take to cover the larger square.

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Perform the indicated operations. Perform the indicated operations.

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Multiply binomials using the COLUMN method. Multiply binomials using the COLUMN method.

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Multiply. Multiply.

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Perform the division (find the quotient). Perform the division (find the quotient).

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Write the expression with a positive exponent, and then simplify, when possible. Write the expression with a positive exponent, and then simplify, when possible.

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Multiply. Multiply.

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Multiply and simplify. Multiply and simplify.

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Simplify the expression. An answer with exponents should contain positive exponents only. Simplify the expression. An answer with exponents should contain positive exponents only.

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Divide the polynomial by Divide the polynomial by   .  . Divide the polynomial by   .

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Write the expression with a single exponent. (Assume all variables are positive numbers.) Write the expression with a single exponent. (Assume all variables are positive numbers.)

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Fill in the table. Fill in the table.

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Write an expression for the sum of the squares of two consecutive integers. Simplify the expression.

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Simplify the expression. An answer with exponents should contain positive exponents only. Simplify the expression. An answer with exponents should contain positive exponents only.

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Find the value of the polynomial Find the value of the polynomial   when y is 9. when y is 9.

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