What is the degree of the polynomial p(x):
p(x)=ax4+bx3+cx2+dx+e, given ab = 0, b ≠ 0
Since the degree of a polynomial is the highest power of the variable, we need to look for this highest power.
Since ab = 0, b≠ 0 it follows that a =0 and b ≠ 0. Since b is the first non-zero coefficient and the highest power is 3, this will be the degree.