The polynomial of degree 4, P(x) has a root of multiplicity 2 at x = 4 and roots of multiplicity 1 at x = 0 and x = - 3 3. It goes through the point (5, 28) . Find a formula for P(x)

The complete polynomial will be:

Step-by-step explanation:

If one root has multiplicity 2 at x = 4, the factor can write as:

(1)

Now, another root has a multiplicity 1 at x=0 and x=-3, then the factors will be:

(2)

(3)

Putting (1),(2), and (3) together we can construct the polynomial.

(4)

C is a constant value

We need to use the point  (5, 28) to find the constant C. 5 is the x value and 28 is the P(x) value. Replacing these values into the (4) equation:

Finally, the complete polynomial will be:

I hope it helps you!

what does x eaqual

step-by-step explanation: