Exam 6: Factoring and Quadratic Equations

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Factor the polynomial expression. If the polynomial cannot be factored write the answer as prime. Factor the polynomial expression. If the polynomial cannot be factored write the answer as prime.

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A quadratic equation might have two one or zero x-intercepts.

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Which one of the following is the graph of Which one of the following is the graph of   ? ?

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Factor the trinomial. If the trinomial cannot be factored over the integers then write that it is prime. Factor the trinomial. If the trinomial cannot be factored over the integers then write that it is prime.

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Find the axis of symmetry for the given equation. Find the axis of symmetry for the given equation.

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The power The power   of a jet of water from a fire hose that is 3 inches in diameter is directly proportional to the cube of the water velocity   . If the velocity is divided by 4 by what factor will the power decrease? of a jet of water from a fire hose that is 3 inches in diameter is directly proportional to the cube of the water velocity The power   of a jet of water from a fire hose that is 3 inches in diameter is directly proportional to the cube of the water velocity   . If the velocity is divided by 4 by what factor will the power decrease? . If the velocity is divided by 4 by what factor will the power decrease?

(Multiple Choice)
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Suppose that Suppose that   is inversely proportional to the square of   . If   when   find the proportionality constant. Round to the nearest hundredth. is inversely proportional to the square of Suppose that   is inversely proportional to the square of   . If   when   find the proportionality constant. Round to the nearest hundredth. . If Suppose that   is inversely proportional to the square of   . If   when   find the proportionality constant. Round to the nearest hundredth. when Suppose that   is inversely proportional to the square of   . If   when   find the proportionality constant. Round to the nearest hundredth. find the proportionality constant. Round to the nearest hundredth.

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Determine the end behavior of the function Determine the end behavior of the function   . .

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For the polynomial expression factor out the GCF. For the polynomial expression factor out the GCF.

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Estimate the x- and y-intercepts from the graph. Estimate the x- and y-intercepts from the graph.

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Use the equation to determine whether the parabola opens upward or downward. Use the equation to determine whether the parabola opens upward or downward.

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Factor completely and make the leading coefficient positive. Factor completely and make the leading coefficient positive.

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For the polynomial expression factor out the GCF. For the polynomial expression factor out the GCF.

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Which one of the following graphs represents the function Which one of the following graphs represents the function   ? ?

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Factor the polynomial expression. If the polynomial cannot be factored write the answer as prime. Factor the polynomial expression. If the polynomial cannot be factored write the answer as prime.

(Multiple Choice)
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Suppose that Suppose that   is inversely proportional to the cube root of   . Which one of the following is an equation that expresses this statement? is inversely proportional to the cube root of Suppose that   is inversely proportional to the cube root of   . Which one of the following is an equation that expresses this statement? . Which one of the following is an equation that expresses this statement?

(Multiple Choice)
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Estimate the x- and y-intercepts from the graph. Estimate the x- and y-intercepts from the graph.

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You dropped a ball from a roof of a building that is 144 feet high. The height h of a ball in feet t seconds after dropped from the roof can be estimated by the equation You dropped a ball from a roof of a building that is 144 feet high. The height h of a ball in feet t seconds after dropped from the roof can be estimated by the equation   . Find when the ball will hit the ground (height equal to zero). . Find when the ball will hit the ground (height equal to zero).

(Multiple Choice)
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Factor the polynomial expression completely. If the polynomial cannot be factored write the answer as prime. Factor the polynomial expression completely. If the polynomial cannot be factored write the answer as prime.

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Let Let   and   . Find   . and Let   and   . Find   . . Find Let   and   . Find   . .

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