Binomials Word Problems

Find the coefficient of y^6 in (2x3y^2)^6
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The width of a rectangular painting is 3 in. more than twice the height. a frame that is 2.5 in. wide goes around the painting. a) write an expression for the combined area of the painting and frame. b) use the expression to find the combined area when the height of the painting is 12 in. c) use the expression to find the combined area when the height of the painting is 15 iin.
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Kattya has a square garden. When she increases her garden`s width by 3 meters and decreases its length by 4 meters, her garden becomes 60 m^{2}. What is the dimensions of her garden before the change?
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A polynomial in x has degree 3. The coefficient of x2 is 3 less than the coefficient of x3. Te coefficient of x is three times the coefficient of x2. The remaining coefficient is more than the coefficient of x3. The sum of the coefficients is 4. Find the polynomial.
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find the value of the coefficient of 1/x in the expansion (2x  1/x)^5
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During the first part of a trip, a conoeist travals 65 miles at a certain speed. The canoeist travals 7 miles on the second part of the trip at a speed 5 mph slower. The total time for the trip is 4 hrs. what was the speed on each part of the trip?
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How is dividing a polynomial by a binomial similar to or different from the long division you learned in elementary school?
