Write the general polynomial p(x) if its only zeros are 1,4, and -3, with multiplicities 3,2, and 1, respectively. What is its degree? Find p(x) precisely if p(0)=16.

--- General polynomial

The degree is 6

--- The polynomial precisely

Step-by-step explanation:

Given

--- zeros

--- multiplicities

Solving (a): The polynomial

The polynomial is represented as:

So, we have:

Include constant k; So, the polynomial becomes

Solving (b): The degree (d)

To do this, add up the multiplicities

The degree is 6

Solving (c): The actual polynomial

In (a), we have:

means:

This gives:

Solve for k

So:

the correct answer is 5

step-by-step explanation:

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