Question

Which polynomial is of the fourth degree?

1) a^6+a^5b+a^4b^2+a^3b^3
2) a^3b+a^2b+b^3
3) a^4+a^2b^3
4) 4a^3

Answer 1

a^3b+a^2b+b^3

Explanation:

A fourth degree polynomial has the highest power of degree 4 when you sum the powers in each term

) a^6+a^5b+a^4b^2+a^3b^3 degree 6

2) a^3b+a^2b+b^3 3+1 = 3 degree 4

3) a^4+a^2b^3 2+3 = degree 5

4) 4a^3 degree 3