Question

Put in standard form 7xy+8x+5xyz+5x^5

Answer 1

`5x^5+5xyz+7xy+8x`

Explanation:

When putting an equation in standard form, you always prioritize the term with the most variables - unless terms have a greater exponent.

The prioritization order is:

Exponents

Amount of variables

Value of coefficient

So,
`5x^5` is the only term with an exponent in this expression, so it will go first.

Next up, we have to choose between
`8x`,
`5xyz`, and
`7xy`. We know that
`5xyz` has more variables than the other ones, so it goes next.

Now we're left with
`7xy` and
`8x`.
`7xy` has more variables than
`8x`, so it goes next.

This leaves
`8x` last.

So, the expression becomes
`5x^5+5xyz+7xy+8x`.

Hope this helped!