How do you find all zeros with multiplicities of f(x)=−17x3+5x2+34x−10?

1 Answer
Binayaka C.
Jul 14, 2017

The zeros are x=517,x=√2,x=−√2

Explanation:

f(x)=−17x3+5x2+34x−10 or

f(x)=−17x3+34x+5x2−10 or

f(x)=−17x(x2−2)+5(x2−2) or

f(x)=(x2−2)(−17x+5) or

f(x)=(x+√2)(x−√2)(−17x+5)

f(x)=0 When (x+√2)=0orx=−√2 ,

(x−√2)=0orx=√2 and (−17x+5)=0or17x=5orx=517

The zeros are x=517,x=√2,x=−√2 [Ans]

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