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Division of Polynomials Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and express the quotient P(x)/D(x) in the form
6. P(x) = 6x3 + x2 − 12x + 5, D(x) = 3x − 4
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Chapter 3 Solutions
Rutgers University Precalculus Mathematics for Calculus 640: 111/112/115 + Enhanced Web Assign Printed Access Card BNDL
- 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 = 60 mph.arrow_forwardFuel Efficiency The fuel efficiency (in miles per gallon) of a car going at a speed of x miles per hour is given by the polynomial 1150x2+13x . Find the fuel efficiency when x=30 mph.arrow_forwardUse the Remainder Theorem to find the remainder when f(x)=x37x+12 is divided by x+3 .arrow_forward
- Roller coaster A portion of a roller coasters tracks can be modeled by the polynomial function f(x)=0.0001(x3600x2+90,000x), where 0x400.f(x) represents the height of the roller coaster in feet and x represents the horizontal distance in feet. a. Find the height of the roller coaster when x=100 yards. b. Find the values of x on the interval [0,400] at which the height of the roller coaster is 0 yards.arrow_forwardFill in the blanks. A shortcut method for dividing a polynomial by a binomial of the form xc is called _____ division.arrow_forwardBuilding 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_forward
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