Question

The volume of cube is given by the polynomial p(x) =8x³-36x²+54x-7. find the possible expression for the sides of cube

Answer 1

What is volume of a cube if side is x?
it is $x^{3}$
so put $x^{3} = 8x^{3} - 36 x^{2} + 54x-7$
solve the equation for value of x.
Can't you?