Question

What is the degree of the polynomial $p\left(x\right):p\left(x\right)=a{x}^4+b{x}^3+c{x}^2+dx+e$, given $\frac{a}{b}=0\&b\ne 0$.

• A. 2
• B. 3
• C. 4
• D. 5

Answer 1

The correct option is B 3

Since the degree of a polynomial is the highest power of the variable, we need to look for this highest power.
It is given that,
$\frac{a}{b}=0$ and $b\ne 0$
$⟹a=0$
The polynomial becomes, $p\left(x\right)=b{x}^3+c{x}^2+dx+e$
Therefore, the degree of the polynomial is 3.