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rajat agarwal Grade: 11
        question:find coeff of x^3 in

(x-4)*(x-1)*(x+2)*(x+8)*(x+6).sir i want to know shortcut method at earliest
7 years ago

Answers : (1)

Pratham Ashish
17 Points
										

hi,


see the coefficient of x^3 wii be the


   sum of all the terms of form  x * x * X * a * b


we have only to select  a & b  , for this we have to select two  terms from (x-4)*(x-1)*(x+2)*(x+8)*(x+6).


 these can be


   ( -4 *-1 )   or (-4 *2 ) or ( 2 * 8 ).................


adding all such terms


  gives ,    4  -8  -32  -24 -2 -8 -6 +16 +12 +48


      = 0


so the coeff. of x^3 is 0


 


 

7 years ago
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