Question

What is the degree of the polynomial p(x):

$p\left(x\right)=a{x}^4+b{x}^3+c{x}^2+dx+e$, given $\frac{a}{b}$ = 0, b $\ne$ 0

• A. 3
• B. 2
• C. 1
• D. 5

Answer 1

The correct option is A

3

Since the degree of a polynomial is the highest power of the variable, we need to look for this highest power.

Since $\frac{a}{b}$ = 0, b$\ne$ 0 it follows that a =0 and b $\ne$ 0. Since b is the first non-zero coefficient and the highest power is 3, this will be the degree.