Question

find polynomial function that has given zeros: 0,-3

Answer 1

\(\bf x=\{ 0,-3\}\to
\begin{cases}
x=0\to {\color{purple}{ (x)}}=0\\
\bf x=-3\to x+3=0\to {\color{purple}{ (x+3)}}=0
\end{cases}
\\ \quad \\
{\color{purple}{ (x)}}{\color{purple}{ (x+3)}}=0\implies (x)(x+3)=\textit{original polynomial}\)