Question

the zeros of the polynomial x ³-6x²+11x-6 are the dimensions of a cuboid then its volume​

Answer 1

Answer:

Volume of a cuboid = L * B * H

Since one side = x-1

& volume = x^3 - 6x² + 11x - 6

So, the product of other 2 sides =

( x^3 - 6x² + 11x - 6) ÷ ( x-1)

= quotient = x² - 5x + 6 & remainder has to zero

Now, 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)