Question

If the degree of polynomial $p\left(x\right)$ is $a$, then the number of zeroes of $p\left(x\right)$ would be :

• A. $a+1$
• B. $a-1$
• C. $a$
• D. $2a$

Answer 1

The correct option is C $a$

For a polynomial of degree $a$, the number of roots (zeros) is $a$.

Let a general polynomial of degree $n$ be

$p\left(x\right)=a_n{x}^n+a{}_{n-1}{x}^{n-1}+........+a{}_0$

Here, this polynomial has $n$ roots (zeros), which can be real, imaginary or both depending on the polynomial.

That is, a polynomial of degree $a$ has $a$ zeroes.

Therefore, option $C$ is correct.