Question

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

Answer 1

`5y^6+40y^4`

Explanation:

The first step is to distribute the bracket.

`rArr5y(y^5+8y^3)=5y^6+40y^4" 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 `5y^6`