Question

The polynomial of degree 3, P(x), has a root of multiplicity 2 at x=4 and a root of multiplicity 1 at x=−2. The y-intercept is y=−9.6 . Find a formula for P(x) . Keep the answer in factored form.

Answer 1

Answer:

Step-by-step explanation:

P(x) = a(x - 2)2(x + 4), a ≠ 0

 

Use the given point (0,-10) to find a.

 

-10 = a(0 - 2)2(0 + 5) = a(4)(5) = 20a

a = -10/20 = -1/2

 

P(x) = (-1/2)(x - 2)2(x + 5)

 

You can expand this if you wish