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How to solve this?I am looking for all the zeros of f(x) algebraically

How To Solve ThisI Am Looking For All The Zeros Of Fx Algebraically class=

Sagot :

Solution

For this case we have the following polynomial:

[tex]f(x)=x^3+4x^2+36[/tex]

If x-4 is a factor then x=4 is a root of the polynomial but we can see that:

[tex]f(4)\ne0[/tex]

Then we can conclude that x=4 is not a root

Possible roots for this case are:

x= -5.28760

View image AxleZ737590
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