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.