Question

Find a polynomial fx of degree 4 that has the following zeros. −5 , 0 , 3 , −2

Answer 1

\(
-5 , 0 , 3 , -2\quad
\begin{cases}
x=-5\to x+5=0\to &(x+5)=0\\
x=0\to x-0=0\to &(x)=0\\
x=3\to x-3=0\to &(x-3)=0\\
x=-2\to x+2=0\to &(x+2)=0
\end{cases}
\\ \quad \\
\bf (x+5)(x)(x-3)(x+2)=\textit{original polynomial}
\)