If x-6 is a factor of x3+ax2+bx -b and a-b=7, find the value of a and

1.	If x-6 is a factor of x3+ax2+bx -b and a-b=7, find the value of a and b
Answer» x-6=0x=6 Put x=6 in given equationx3+ax2 +bx-b=0(6)3+a(6)2 +b(6)-b=018+12a+6b-b=06(3+2a+b-b)=03+2a+b-b=0------(1)a-b=7 (given)a=b+7-----(2)Put eq 2 in eq 13+2(b+7)+b-b=03+2b+14+b-b=017+2b=0 b=-17/2Put value of b in eq 2a-b=7a-(-17/2)=7a+17/2=7a=7-17/2a=14-17/2a=-3/2

Discussion