Algebra and Trigonometry

Mathematics

Quiz 3 :

Polynomial and Rational Functions

Quiz 3 :

Polynomial and Rational Functions

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Use Descartes' Rule of Signs to determine the possible number of positive and negative zeros of img .
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Answer:

E

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Find all real zeros of the polynomial img and determine the multiplicity of each.
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B

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Find the standard form of the quadratic function shown below: img
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D

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Find all the rational zeros of the function img .
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Write the standard form of the equation of the parabola that has a vertex at img and passes through the point img .
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Use synthetic division to divide. img
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Find all the real zeros of img .
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Graph the given function. img img
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Find all real zeros of the polynomial img and determine the multiplicity of each.
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Use Descartes' Rule of Signs to determine the possible number of positive and negative zeros of img .
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An open box is to be made from a square piece of cardboard, 35 inches on a side, by cutting equal squares with sides of length x from the corners and turning up the sides (see figure below). Determine the function, V, in terms of x, that represents the volume of the box. img img
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Use long division to divide. img
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Using a graphing utility, graph img and approximate the zeros and their multiplicity.
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Write img in the form img when img .
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Find all the real zeros of img .
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A farmer has 240 feet of fencing and wants to build two identical pens for his prize-winning pigs. The pens will be arranged as shown. Determine the dimensions of a pen that will maximize its area. img
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If img is a root of img , use synthetic division to factor the polynomial completely and list all real solutions of the equation.
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Using the factors img and img , find the remaining factor(s) of img and write the polynomial in fully factored form.
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Determine the vertex of the graph of the quadratic function img .
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Write the standard form of the equation of the parabola that has a vertex at img and passes through the point img .
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