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S. No. Date Title Page No. Teacher's Sign/Remarks Fact Coriser le 3-22264+14200-120

11th - 12th Class
Maths
Solution
125
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( x^{3}-22 x^{2}+142 x-120 ) Let ( p(x)=x^{3}-2 x^{2}+142 x-120 ) sherting ( p(x)=0 ) [ x^{3} ] Note The term ehould be ( 23 x^{2} ) and -120 Co, colving ( x^{3}-23 x^{2}+142 x-120 ) ( begin{aligned} & x^{3}-x^{2}-22 x^{2}+22 x+120 x+120 =& x^{2}(x-1)-22(x-1)+120(x-1) =&(x-1)left(x^{2}-22 x+120right) =&(x-1)left(x^{2}-12 x-10 x+120right) =&(x-1)(x(x-12)-10(x-12)) =&(x-1)(x-10)(x-12) end{aligned} )
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