Third degree with zeros of -3, -2 and 4 and a y intercept of -15

Step-by-step explanation:

It is given that x = -3, x = -2, and x = 4.

Use those values to find the factors: x + 3 = 0, x + 2 = 0, and x - 4 = 0

Multiply the factors: (x + 3) (x + 2) (x - 4) = 0

This gives us the equation: y = a (x + 3) (x + 2) (x - 4)

Next, we need to solve for "a". It is given that the y-intercept = -15

Multiply the constant of each term by "a" to find the y-intercept:

a(3)(2)(-4) = -15

      -24a  = -15

Finally, rewrite the equation to include the a-value.