Find all the zeroes of the polynomial function f ( x ) = x 3 − 5 x 2 + 6 x − 30

Mathematics

1 answer:

vitfil [10]2 years ago

3 0

Answer:

5, ±√6i

Step-by-step explanation:

f(x)=x^3-5x^2+6x-30=x^2(x-5)+6(x-5)=(x^2+6)(x-5)

to make f(x)=0, x^2+6=0 or x-5=0

x^2=-6; x=±√6i

x-5=0; x=5

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