Question

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

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