SOLUTION: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x=2 and. Root of multiplicity 1 at x=-4. The y intercept is y=-9.6 Find a formula for P(x) P(x)=

Question 1182615: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x=2 and. Root of multiplicity 1 at x=-4. The y intercept is y=-9.6
Find a formula for P(x)
P(x)=
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!

-

-------using the y-intercept information
.
.
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

In the factored form of the polynomial, a root of multiplicity 2 at x=2 means two linear factors of (x-2); a root of multiplicity 1 at x=-4 means one linear factor of (x+4). So the polynomial in factored form is of the form

To determine the constant factor a, use the given fact that the y-intercept P(0) is -9.6:

ANSWER:

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