Cardboard to be cut and folded:Resulting open-top Box:16 in20 inThe volume enclosed by this box is given by the polynomial function: V(x) = 320x – 72x² + 4x3a) Factor this function fully and clearly show your steps.b) Examine the factored form and explain why this function correctly represents the volume of this box.

Answered: Image /qna-images/answer/31cff3f3-4502-483b-b608-d8116662d488.jpg

Answered: to De o ut and I0lded. 16 in X | 20 in…

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter7: Polynomial Equations And Factoring

Section: Chapter Questions

Problem 19CT

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Similar questions

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Use synthetic division to show that x=3 is a zero of the function f(x)=2x35x26x+15. Use the result to factor the polynomial function completely and list all the zeros of the function.
Too Many Corn Plants per Acre? The more corn a farmer plants per acre, the greater is the yield the farmer can expect. But only up to a point, many plants acre can cause Overcrowding and decrease yields, data give yields per acre for various densities of corn plantings, as found by researchers at a university test farm. (a) Find the quadratic polynormal that best fits the data. (b) Draw a graph of the polynomial from part (a) together with a scatter plot of the data. (c) use your result (b) to estimate the yield for 37000 plants per acre.
Fuel Efficiency The fuel efficiency (in miles per gallon) of a bus going at a speed of x miles per hour is given by the polynomial 1160x2+12x. Find the fuel efficiency when x =40 mph.
Building Envelope The building code in a certain town requires that a house be at least 10 ft from the boundaries of the lot. The buildable area or building envelope for the rectangular lot shown in the following figure is given by A=(x20)(y20) a Explain how the expression for A is obtained. b Expand to express A as a polynomial in x and y. c A contractor has a choice of purchasing one of two rectangular lots, each having the same area. One lot measures 100 ft by 400 ft; the other measures 200 ft by 200 ft. Which lot has the larger building envelope?
Find the image of the square in Example 6 after a vertical stretch by a factor of k=2.

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to De o ut and I0lded. 16 in X | 20 in e volume enclosed by this box is given by the polynomial function: V(x)= 320x – 72x² + 4x³ Factor this function fully and clearly show your steps. Examine the factored form and explain why this function correctly represents the volume of this box.