Asked by Bob
Use the remainder theorem to find which of the following is not a factor of x3 + 12x2 + 47x + 60
the answer is x-5 but idk why
the answer is x-5 but idk why
Answers
Answered by
Steve
The remainder theorem states that
f(x) = (x-p)*q(x) + f(p)
So, if f(p)=0, (x-p) divides f(x) evenly; it is a factor.
f(5) = 5^3 + 12*5^2 + 47*5 + 60 = 720
so, f(x) = (x-5)*q(x) + 720
for some q(x)
f(x) = (x-p)*q(x) + f(p)
So, if f(p)=0, (x-p) divides f(x) evenly; it is a factor.
f(5) = 5^3 + 12*5^2 + 47*5 + 60 = 720
so, f(x) = (x-5)*q(x) + 720
for some q(x)
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