If f(–5) = 0, what are all the factors of the function f(x)=x^3-19x+30? Use the Remainder Theorem.
2 answers:
Answer:
a) (x-2)*(x+5)*(x-3)
Step-by-step explanation:
We are given that f(x) = .
Now, f(-5)=0 i.e. (x+5) is a factor of f(x),
We need to find the other two factors.
So, using Remainder Theorem, we get that f(x) is simplified into f(x) = * (
).
Now, after solving the quadratic equations, we get that,
f(x) = (x+5)*(x-2)*(x-3).
Hence, a) (x-2)(x+5)(x-3) are the factors of f(x).
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Step-by-step explanation:
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