Exam 6: Factoring and Applications

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Simplify by writing the expression with positive exponents. Assume that all variables represent nonzero real numbers -Simplify by writing the expression with positive exponents. Assume that all variables represent nonzero real numbers -   Simplify by writing the expression with positive exponents. Assume that all variables represent nonzero real numbers -

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Find the value of the polynomial. -3 Find the value of the polynomial. -3   + 10x + 7 when x = -4 + 10x + 7 when x = -4

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Find the product. -2x( 3x + 1)( 2x - 3)

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Simplify by writing the expression with positive exponents. Assume that all variables represent nonzero real numbers -Simplify by writing the expression with positive exponents. Assume that all variables represent nonzero real numbers -

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Choose the one alternative that best completes the statement or answers the question.Evaluate the expression. -( -4)0 + ( -15)0

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Write the word or phrase that best completes each statement or answers the question.Provide an appropriate response. -The polynomial 10 a4 is called a ____________ ?

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Determine the number of terms and name the coefficients of the terms. -Determine the number of terms and name the coefficients of the terms. -

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Write the word or phrase that best completes each statement or answers the question.Provide an appropriate response. -Explain how ( -8x)8 and -8x8 are different.

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Perform the indicated operation. Write the answer in scientific notation. -( 4 × Perform the indicated operation. Write the answer in scientific notation. -( 4 ×   )( 9 ×   ) )( 9 × Perform the indicated operation. Write the answer in scientific notation. -( 4 ×   )( 9 ×   ) )

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Find the product. -( 3r + 4t)4

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Choose the one alternative that best completes the statement or answers the question.Evaluate the expression. -Choose the one alternative that best completes the statement or answers the question.Evaluate the expression. -  -  - Choose the one alternative that best completes the statement or answers the question.Evaluate the expression. -  -

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Subtract. -( -4x2 + 6x4 - 7 - 8x3) - ( -2 + 2x3 + 3x4 - 6x2)

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Write the word or phrase that best completes each statement or answers the question.Provide an appropriate response -In scientific notation, what is the smallest positive integer which can be multiplied by a power of 10?

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Solve the problem. Express the answer in scientific notation to two decimals. -If the distance from the earth to the sun were 82,000,000 miles. How long would it take a rocket, traveling at 2 × 103 miles per hour, to reach the sun? (Round to three places)

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If the number in the statement is written in scientific notation, write it without exponents. If it is written without exponents, write it in scientific notation. -A company produces 332,000 small appliances in one year.

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Perform the indicated operation. Write the answer in scientific notation. -Perform the indicated operation. Write the answer in scientific notation. -

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Perform the division. -(p2 + 3p - 6) ÷ (p + 5)

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Write the word or phrase that best completes each statement or answers the question.Provide an appropriate response. -Is it correct to simplify 42 ∙ 24 as 88?

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Solve the problem. Express the answer in scientific notation to two decimals. -Assume that the volume of the earth is 5 × 1014 cubic meters and the volume of a bacterium is Solve the problem. Express the answer in scientific notation to two decimals. -Assume that the volume of the earth is 5 × 10<sup>14</sup> cubic meters and the volume of a bacterium is   cubic meters. If the earth could be filled with bacteria, how many would it contain? cubic meters. If the earth could be filled with bacteria, how many would it contain?

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Perform the indicated operation. -( 3x7 + 6x9 - 1) + ( -6x8 - 2) - ( 2x8 + 4x9 + 9x7)

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