what are the zeros of the polynomial function f(x) = x^3-10x^2+24x

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24-01-2019
Mathematics

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what are the zeros of the polynomial function f(x) = x^3-10x^2+24x

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kayleeshiver91 kayleeshiver91 · Answer 1 · 2019-01-24T21:17:25+01:00

kayleeshiver91 kayleeshiver91

24-01-2019

Replace F(x) with y
y=x^3-10x^2+24x
To find the roots replace y with 0.
0=x^3-10x^2-24x
Rewrite the equation as
x^3-10x^2+24x=0
Factor the left side
x(x-6)(x-4)=0
The solution is a result of
x=0, x-6=0, and x-4=0

The answer is:
x=0, 6, 4

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