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Find the complex zeros of the following polynomial function.Write f in factored form. The complex zeros of f are  11x^4 - 1x^3 - 33x^2 + 575x - 52

Question
Find the complex zeros of the following polynomial function.
Write f in factored form.
 
The complex zeros of f are 
 
11x^4 - 1x^3 - 33x^2 + 575x - 52
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Step 1

Given: -

f = 11x-x33x +575x-52
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f = 11x-x33x +575x-52

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Step 2

To find: -

A) Complex zeros of the following polynomial function
B) Write fin factored form
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A) Complex zeros of the following polynomial function B) Write fin factored form

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Step 3

Calculation...

put in the given function,
Let x4
f-4)11()4)^-33(4) +575(-4)-52
f(-4) 2816+64 - 528 - 2300-52 = 0
x-4 is a root of the given function
The given function can be written as
1 1x (x4)45x(x+ 4)+147x(x+4)-13(x+4)
(x+4)(11x-45x+147x-13)
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put in the given function, Let x4 f-4)11()4)^-33(4) +575(-4)-52 f(-4) 2816+64 - 528 - 2300-52 = 0 x-4 is a root of the given function The given function can be written as 1 1x (x4)45x(x+ 4)+147x(x+4)-13(x+4) (x+4)(11x-45x+147x-13)

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