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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). Homework Help ✎

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.