For the following exercises, use the given information about the polynomial graph to write the equation.

Question

Degree 3. Zero at x = -2, x = 1, and x = 3. y intercept at (0,-4).

Answer 1

P(x) = a(x - 3)(x - 1)(x + 2)

Now put in the point (0,-4) to find a.

-4 = a(-3)(-1)(2)

-4 = 6a

a = -2/3

P(x) = (-2/3)(x - 3)(x - 1)(x + 2)

You can multiply it out if you so desire and get the polynomial in standard form.

P(x) = (-2/3)(x^3 - 2x^2 - 5x + 6)