Question

How do you write `x(x+2) ^2` in standard form?

Answer 1

`x(x+2)^2` in standard form is `x^3+4x^2+4x`

Explanation:

Standard form of polynomial means polynomial written in a form of decreasing powers of the variable. If variable is `x`, it could be

`a_0x^n+a_1x^(n-1)+a_2x^(n-2)+a_3x^(n-3)+a_4x^(n-4)+...+a_(n-1)x+a_n`,

where `a_0!=0`. Note that other `a`'s could be zero.

Hence to write `x(x+2)^2` in standard form, we should simplify and expand it.

`x(x+2)^2=x(x^2+4x+4)=x^3+4x^2+4x`