Let $a_n, a_{n-1}, \ldots, a_1, a_0 \in \mathbb{C}$ and $f(x)=a_n x^n+a_{n-1} x^{n-1}+\ldots+$ $a_1 x+a_0$…
Let $a_n, a_{n-1}, \ldots, a_1, a_0 \in \mathbb{C}$ and $f(x)=a_n x^n+a_{n-1} x^{n-1}+\ldots+$ $a_1 x+a_0$ is a polynomial. If the polynomial $f(x)$ is monic then
$a_n \neq 0$
$a_n=1$
$a_n>0$
$\mathrm{a}_{\mathrm{n}} < 0$
Solution
We have $\mathrm{f}(\mathrm{x})=\mathrm{a}_{\mathrm{n}} \mathrm{x}^{\mathrm{n}}+\mathrm{a}_{\mathrm{n}-1} \times{ }^{\mathrm{n}-1}+\ldots . .+\mathrm{a}_1 \times \mathrm{a}_0$ here polynomial $f(x)$ is a monic polynomial should be 1
$
\Rightarrow \mathrm{a}_{\mathrm{n}}=1
$