Question: Since f ( x ) has the factors x , x 3 , and x + 6 , then we must have f ( x

Since f(x) has the factors x,
x 3,
and
x +6,
then we must have
f(x)= a(x)(x 3)(x +6)
for some as yet unknown multiplier a. However, since it was given that
f(2)=80,
we substitute 2 for x and 80 for
f(x)
and solve
Using all the information we found, we can now write the full formula.

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