Find all zeros of the polynomial. P(x) = x^{5} - 2x^{4}

David Young 2021-12-18 Answered
Find all zeros of the polynomial.
P(x)=x52x4+2x34x2+x2
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Expert Answer

aquariump9
Answered 2021-12-19 Author has 40 answers
Step 1
Given,
P(x)=x52x4+2x34x2+x2
now find the factors and zeros of function
p(x)=0
x4(x2)+2x2(x2)+1(x2)
(x2)(x4+2x2+1)=0
now find factor of x4+2x2+1=0
(x2)(x2+1)2=0
x-2=0
x=2
Step 2
x2+1=0
x=±1=±i
so polynomial has only one real zeros at x=2
and two complex zeros.

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