Question

Choose the polynomial written in standard form.

x4y2 + 4x3y + 10x2

xy2 + 4x4y + 10x

x4y2 + 4x3y5 + 10x2

x6y2 + 4x3y8 + 10x

Answer 1

x⁴y² + 4x³y + 10x²
This is in standard form because the terms are ordered from the highest degree to the lowest and the individual variables' powers are also decreasing from the left to right.

Answer 2

Standard form means that you write the terms by descending degree.


`x^4y^2+4x^3y+10x^2`

The degree of the first term
`x^4y^2` is
`4+2=6`.
The degree of the second term
`4x^3y` is
`3+1=4`.
The degree of the third term
`10x^2` is
`2`.

The terms are written by descending degree. Therefore, polynomial
`x^4y^2+4x^3y+10x^2` is written in standard form.