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The zeros of the polynomial x ³-6x²+11x-6 are the dimensions of a cuboid then its volume |
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Answer» Volume of a cuboid = L * B * HSince one side = x-1& volume = x^3 - 6x² + 11x - 6So, the PRODUCT of other 2 sides =( x^3 - 6x² + 11x - 6) ÷ ( x-1)= QUOTIENT = x² - 5x + 6 & remainder has to zeroNow, by factorizing x² - 5x + 6= (x-3) ( x- 2)This way , other 2 sides ( we can say its breadth & HEIGHT) are ( x-2) & (( x-3) |
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