The Rational Root Theorem Answers

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The specifications for a new cardboard container require that the width for the container be 4 inches less than the length and the height be 1 inch less than twice the length.a. Write a polynomial function that models the volume of the container in terms of its length.b. Write an equation if the volume must be 2208 cubic inches.c. Find the dimensions of the new container.

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The polynomial equation has zero positive real roots.

Identify the possible rational roots for the equation .

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A hotel in Las Vegas, Nevada, is the largest pyramid in the United States. Prior to the construction of the building, the architects designed a scale model.If the height of the scale model was 9 inches less than its length and its base is a square, write a polynomial function that describes the volume of the model in terms of its length.a.c.b.d.

Find all the zeros of .

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Use the rational-root theorem to find the roots of .

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Use Descartes' Rule of Signs to find the number of possible positive real roots and the number of possible negative real roots for the function f(x) = x4 + 2x3 - 3x2 - 8x - 4.

positive 1; negative 3 or 1

positive 1; negative 3 or 5

positive 3; negative 3 or 1

positive 3; negative 3 or 5

State the number of complex roots, the number of positive real roots and the number of negative real roots of .