Question

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

Answer 1

`y = 6x^3-10x^2-4x`

Explanation:

To find the standard form of a polynomial , we simply multiply all given factors and group like terms.

`2(x+3x^2)(x-2) = 2(x^2-2x+3x^3-6x^2)`

`=2(3x^3-5x^2-2x)`

`=6x^3-10x^2-4x`

Thus we have the standard form:

`y = 6x^3-10x^2-4x`