CPM Homework Help : CCA2 Problem 10-39

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

Hint 1:

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

Hint 2:

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

Step:

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

More Help:

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

Answer:

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