Linear Factorization of x^4 +x^3 +5x -10

cistG 2021-03-06 Answered
Linear Factorization of x4+x3+5x10
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Expert Answer

timbalemX
Answered 2021-03-07 Author has 108 answers
Step 1
Given quartic equation is :
x4+x3+5x10=0
Let us first take x common,
x4+x3+5x10=0
x(x3+x2+5)10=0
x(x3+x2+5)=10
x=10,(x3+x2+5)=10
Step 2
Now,
x3+x2+5=10
x2(x+1)=5
x2=5,(x+1)=5
Again,
x2=5
x=±5i
and , x+1=5
x=4
Step 3
The roots are : 10,4,±5i
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