# What is the standard form of a polynomial 5y(y^5+8y^3)?

Aug 18, 2016

$5 {y}^{6} + 40 {y}^{4}$

#### Explanation:

The first step is to distribute the bracket.

$\Rightarrow 5 y \left({y}^{5} + 8 {y}^{3}\right) = 5 {y}^{6} + 40 {y}^{4} \text{ in standard form}$

expressing a polynomial in standard form means writing the term with the highest power of the variable, followed by descending powers of the variable until the last term, usually a constant.

Here there are only 2 terms. The one with the highest power of the variable being $5 {y}^{6}$