Question

Explain in detail why the degree of the polynomial below is not 6.

3x2+6xy-10x5+y6-10x3y5

Answer 1

the degree of the polynomial is 8

The degree of a polynomial is determined by the largest power of an individual term or the sum of the exponents if more than 1 variable

3x² → is degree 2

6xy → is degree 2 ( sum of 1 and 1 )

- 10
`x^(5)` → is degree 5

`y^(6)` → is degree 6

- 10x³
`y^(5)` → is degree 8 ( sum of 3 and 5 )

the term with largest power is - 10x³
`y^(5)`

The degree of the polynomial is 8