CONCEPTS
To subtract polynomials, we subtract
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Algebra and Trigonometry (MindTap Course List)
- Fill in the blanks. A monomial is a polynomial with _______ term.arrow_forwardHow many terms does this polynomial have? _________ List the terms: _________arrow_forwardGift boxes The corners of a 12 in.-by-12 in. piece of cardboard are folded inward and glued to make a box. Write a polynomial that represents the volume of the resulting box.arrow_forward
- Stopping Distance The number of feet it takes for a car traveling at x miles per hour to stop on dry, level concrete is given by the polynomial 0.06x2+1.1x . Find the stopping distance when x=40 mph .arrow_forwardStopping Distance The number of feet it takes for a car traveling at x miles per hour to stop on dry, level concrete is given by the polynomial 0.06x2+ 1. 1x. Find the stopping distance when x = 60 mph.arrow_forwardCONCEPTS To add polynomials, we add terms. So (3x2+2x+4)+(8x2x+1)=.arrow_forward
- 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?arrow_forwardConstruction Management A square-shaped foundation for a building with 100foot sides is reduced byx feet on one side and extended by x feet on an adjacent side. (a) The area of the new foundation is represented by 100x100+x. Find this product. (b) Does the area of the foundation increase, decrease, or stay the same? Explain. (c) Use the polynomial in part (a) to find the area of the new foundation when x= 21.arrow_forwardFill in the blanks. A shortcut method for dividing a polynomial by a binomial of the form xc is called _____ division.arrow_forward
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