x^4+10x^3+35x^2+50x+24
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Put x = ( -1 ) [ Hit and Trial ]
We get : p( -1 ) = 0
By factor theorem, use ( x - (-1) ) as a factor and rewrite :

Repeat the same step for : x = -2 and rewrite

Solve the quadratic and get the factors :

Collect all the factors and rewrite :

This is the required factorization
However =_= it does seem like you need the roots of your equation...
Equate everything with zero and you get... either of the factors equals to zero and hence :
The roots of the equation are : x = { -1 , -2 , -3 , -4 }
We get : p( -1 ) = 0
By factor theorem, use ( x - (-1) ) as a factor and rewrite :
Repeat the same step for : x = -2 and rewrite
Solve the quadratic and get the factors :
Collect all the factors and rewrite :
This is the required factorization
However =_= it does seem like you need the roots of your equation...
Equate everything with zero and you get... either of the factors equals to zero and hence :
The roots of the equation are : x = { -1 , -2 , -3 , -4 }
queen0071:
it's not solution of my sums
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