rmine-the-degree-of-the-polynomial-pxy-x4-2x2-y3-y6-and-justify-how-you-found-it

Question

Determine the degree of the polynomial P(x,y)=x4+2x2y3+y6P(x,y) = $$x^4$$ + $$2x^2$$ $$y^3$$ + $$y^6$$ and justify how you found it.

Accepted Answer

66, because the term $$y6y^6$$ has the largest sum of exponents among the terms

Answer

Polynomial degree cannot be determined because there are two variables, and degree is only defined for single-variable polynomials

Answer

44, because 44 is the highest single exponent appearing in the expression, and that determines the polynomial's degree

Answer

55, because $$2x2y32x^2$$ $$y^3$$ contributes the highest combined exponent count when variables are considered together

Determine the degree of the polynomial P(x,y)=x4+2x2y3+y6P(x,y) = x^4 + 2x^2 y^3 + y^6 and justify how you found it.