Answer:
P(x) =
Step-by-step explanation:
Root multiplicity of 2 means the root is repeated 2 times. Root multiplicity of 1 means root is repeated only once.
A polynomial of degree 3 means the largest exponent of x is 3.
Here, the polynomial P(x) has root 5 with multiplicity 2 and -5 with multiplicity 1.
So, P(x) =
Where, is a constant.
Now, it's given that the y intercept is -87.5. Therefore, value of x at y intercept is 0.
We obtain by plugging in -87.5 for P(x) and 0 for x.
Therefore, the polynomial P(x) is given as: