Question

What is the degree of this polynomial -2a^3b^2+5ab^5+7b^4+8

Answer 1

For this case we have the following polynomial:
 $-2a ^ 3b ^ 2 + 5ab ^ 5 + 7b ^ 4 + 8$
 We observe that we have a polynomial of two varibles.
 Variables: a and b
 The degree of the polynomial is given by the highest sum of the exponents of the variables.
 We have then for the following term:
 $5ab^5$
 The sum of the exponents is:
 $5 + 1 = 6$
 Therefore, the polynomial is of degree 6.
 Answer:
 the polynomial is of degree 6.