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

cistG

cistG

Answered question

2021-03-06

Linear Factorization of x4+x3+5x10

Answer & Explanation

timbalemX

timbalemX

Skilled2021-03-07Added 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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