Complete Factorization. Factor the polynomial completely, and find

meplasemamiuk

meplasemamiuk

Answered question

2021-12-03

Complete Factorization. Factor the polynomial completely, and find all its zeros. State the multiplicity of each zero.
Q(x)=x4+2x2+1

Answer & Explanation

Maked1954

Maked1954

Beginner2021-12-04Added 17 answers

Step 1
Q(x)=x4+2x2+1
Step 2
To find zeros put Q(x)=0
x4+2x2+1=0
x4+x2+x2+1=0
x2(x2+1)+1(x2+1)=0
(x2+1)(x2+1)=0
x2=1,1
x=±1,±1
x=±i,±i

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