Knowing that (x+3) is the first factor, factor f (x) completely

Answer: p (x) = (x - a) q (x)

Step-by-step explanation:

p (x) by a factor x - a of that polynomial, then you will get a zero remainder. Let's look again at that Division Algorithm expression of the polynomial:

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p (x) = (x - a) q (x) + r (x)

If x - a is indeed a factor of p (x), then the remainder after division by x - a will be zero. That is:

p (x) = (x - a) q (x)