the area of a rectangle is 9xcube+3xsq+1-5x. if the length is 3x-1 find the breadth.
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Area of rectangle = l * b sq units
9x^3 + 3x^2 - 5x + 1 = (3x - 1 ) ( b )
b = 9x^3 + 3x^2 - 5x + 1 \ 3x - 1
3x^2 + 2x - 1 (quotient = breadth)
3x - 1 | 9x^3 + 3x^2 - 5x + 1
- 9x^3 - 3x^2
6x^2 - 5x +1
- 6x^2 - 2x
- 3x + 1
(-) -3x + 1
= 0
therefore breadth = 3x^2 + 2x - 1
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