गुणनखण्ड कीजिए : `x^(3)+6x^(2)+11x+6` 
गुणनखण्ड कीजिए : `x^(3)+6x^(2)+11x+6` 




solution: यहाँ, अचर पद = 6 <br> इसके गुणनखण्ड `=pm1,pm2,pm3,pm6` <br> माना `p(x)=x^(3)+6x^(2)+11x+6` <br> `x=-1` रखने पर <br> `p(-1)=(-1)^(3)+6(-1)^(2)+11(-1)+6=-1+6-11+6=0` <br> `:." "x+1,p(x)` का एक गुणनखण्ड है । <br> अब, `p(x)=x^(3)+6x^(2)+11x+6` <br> `=x^(2)(x+1)+5x^(2)+11x+6` <br> `=x^(2)(x+1)+5x(x+1)+6x+6` <br> `=x^(2)(x+1)+5x(x+1)+6(x+1)` <br> `=(x+1)(x^(2)+5x+6)` <br> `=(x+1)[x^(2)+2x+3x+6]` <br> `=(x+1)[x(x+2)+3(x+2)]` <br> `=(x+1)(x+2)(x+3)` 
step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams.
find answer in image to clear your doubt instantly: