Explain in detail why the degree of the polynomial below is not 6. 3x2+6xy-10x5+y6-10x3y5

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 → is degree 5

→ is degree 6

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

the term with largest power is - 10x³

The degree of the polynomial is 8

step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)

they aren't great and cause destruction, idk man