Question

x cube+23xsquare+142x-240 factorize it. plz do it fast

Answer 1

Hey,

Correction in the question:-

x3- 23x​2+142x-120

let p(x)=​ x3- 23x​2+142x-120
g(x)=x-1
     0=x-1
     x=1
p(1)=(1)3-23(1)2+142(1)-120
       =1-23+142-120
      =143-143
     =0
Hence x-1 is a factor of ​x3- 23x​2+142x-120
​    
by long division
 
x3- 23x​2+142x-120 = (x-1)(x2+22x+120)
                                =(x-1)(x2+10x+12x+120)
                                =(x-1)(x(x+10) 12(x+10))
                                =(x-1)(x+12)(x+10)

HOPE IT HELPS YOU:-))