If the area of rectangular floor of your class room is given by a polynomial p(x) = 2x2-3x -2, then find the length and the breadth of the floor in form of polynomials.
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Given : area of rectangular floor of your class room is given by a polynomial p(x) = 2x²-3x -2
To Find : length and the breadth of the floor in form of polynomials.
Solution:
p(x) = 2x²-3x -2
=> p(x) = 2x²-4x + x - 2
=> p(x) = 2x(x - 2) + 1(x - 2)
=> p(x) = (2x + 1)(x - 2)
area of rectangular = length * breadth
length and breadth are 2x + 1 and x - 2
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