### Home > CCA2 > Chapter Ch10 > Lesson 10.1.2 > Problem10-39

10-39.

Find the equation of a third degree polynomial that has the roots $3, 2,$ and $-1$ and passes through the point $(1, 1)$.

Third-degree means that the highest power of $x$ will be $3$.

The roots are $3, 2,$ and $-1$. These three values make the polynomial equal to $0$.

The corresponding polynomial is $y = a(x - 3)(x - 2)(x + 1)$.

Substitute the point $(1, 1)$ into the polynomial equation to find the value of $a$.

$y=\frac{1}{4}(x-3)(x-2)(x+1)$