Paragraph: Let a x^3+b x^2+c x+d= | array lcc x+1 & 2 x & 3 x 2 x+3 & x+1 & x 2-x & 3 x+4 & 5 x-1 array | then Question: What is the value of c ?

Step-by-step solution

aligned & ax ^3+ bx ^2+ cx + d & aligned =( x +1)[(x+1)(5 x-1)- x (3 x +4)]-2 x [(2 x +3)(5 x -1) - x (2- x )]+3 x [(2 x +3)(3 x+4)-(2-x)(x+1)] aligned aligned aligned & a x^3+b x^2+c x+d=x^3+28 x^2+35 x-1 & c=35 aligned