Exam 5: Exponents and Polynomials

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The graph of The graph of   opens upward. opens upward.

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Add or subtract the given polynomials. Add or subtract the given polynomials.

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A ball is thrown straight upward from a bridge and then falls all the way to the ground (past the bridge). The ball s height h (in feet) above the ground t seconds after the ball is thrown is given by A ball is thrown straight upward from a bridge and then falls all the way to the ground (past the bridge). The ball s height h (in feet) above the ground t seconds after the ball is thrown is given by   . What is the maximum height attained by the ball and after how many seconds is that height attained? . What is the maximum height attained by the ball and after how many seconds is that height attained?

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The vertex of The vertex of   is   . is The vertex of   is   . .

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Solve the equation Solve the equation   using the Quadratic Formula. using the Quadratic Formula.

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Divide the expressions. Divide the expressions.

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A ball is thrown straight upward from a bridge and then falls all the way to the ground (past the bridge). The ball s height h (in feet) above the ground t seconds after the ball is thrown is given by A ball is thrown straight upward from a bridge and then falls all the way to the ground (past the bridge). The ball s height h (in feet) above the ground t seconds after the ball is thrown is given by   . Does the ball reach a height of 251 feet? . Does the ball reach a height of 251 feet?

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What is the degree of the polynomial? What is the degree of the polynomial?

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Simplify the expression. Write the final answer using positive exponents only. Simplify the expression. Write the final answer using positive exponents only.

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What is the degree of the polynomial? What is the degree of the polynomial?

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Is the polynomial linear or nonlinear? Is the polynomial linear or nonlinear?

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Divide the expressions. Divide the expressions.

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Find a quadratic function g whose graph is shown below. Find a quadratic function g whose graph is shown below.

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When you divide two polynomials each of degree 1 or higher the result is always a polynomial.

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Given the function Given the function   find the average rate of change between   and   . find the average rate of change between Given the function   find the average rate of change between   and   . and Given the function   find the average rate of change between   and   . .

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A ball is thrown straight upward from a bridge and then falls all the way to the ground (past the bridge). The ball s height h (in feet) above the ground t seconds after the ball is thrown is given by A ball is thrown straight upward from a bridge and then falls all the way to the ground (past the bridge). The ball s height h (in feet) above the ground t seconds after the ball is thrown is given by   . When does the ball hit the ground? . When does the ball hit the ground?

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Write an expression that represents the length of the missing height of this triangle. Its area is Write an expression that represents the length of the missing height of this triangle. Its area is   .  . Write an expression that represents the length of the missing height of this triangle. Its area is   .

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The graph of The graph of   is obtained from the graph of   by shifting the graph left 5 units. is obtained from the graph of The graph of   is obtained from the graph of   by shifting the graph left 5 units. by shifting the graph left 5 units.

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Perform the operation and write the answer in scientific notation. Perform the operation and write the answer in scientific notation.

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When you use FOIL to multiply the binomials When you use FOIL to multiply the binomials   the LAST product is __________. the LAST product is __________.

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