Question

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

• A. 2
• B. 3
• C. 4
• D. 5

Answer 1

The correct option is B 3

$\text{Since the degree of a polynomial is the}\text{highest power of the variable, we need}\text{to look for this highest power.}$

$\text{It is given that,}\frac{a}{b}=0\text{and}b\ne 0$
$⟹a=0$

$\text{Hence, the polynomial becomes,}p\left(x\right)=b{x}^3+c{x}^2+dx+e$

$\therefore \text{The degree of the polynomial is 3.}$