Question

What is the standard form of `y= 2(x-3)(x-2)(3x-5)`?

Answer 1

`y=6x^3-40x^2+86x-60`

Explanation:

In general the standard form of a polynomial is
`color(white)("XX")y=a_nx^n+a_(n-1)x^(n-1)+...+a_2x^2+a_1x^1+a_0`

To achieve the standard form, multiply out the expression
`y = 2(x-3)(3x^2 -6x - 5x +10)`
`y = 2(3x^3 -11x^2 +10x - 9x^2 +33x - 30)`
`y = 2(3x^3 -20x^2 +43x -30)`
`y = 6x^3 -40x^3 +86x -60`