find the value of a and b so that x^4+x^3 +8x^2+ax +b is divisible by(x^2+1)

sin c e space x to the power of 4 plus x cubed plus 8 x squared plus a x minus b space i s space space e x a c t l y space d i v i s i b l e space b y space x squared plus 1 space t h e n space r e m a i n d e r space m u s t space b e space z e r o left parenthesis a minus 1 right parenthesis x minus left parenthesis b plus 7 right parenthesis equals 0 h e r e space i f space left parenthesis a minus 1 right parenthesis space a n d space left parenthesis b plus 7 right parenthesis space w i l l space z e r o space t h e n space left parenthesis a minus 1 right parenthesis x minus left parenthesis b plus 7 right parenthesis equals 0 s o comma a minus 1 equals 0 a equals 1 a n d comma space b plus 7 equals 0 b equals negative 7 a equals 1 space a n d space b equals space minus 7

Mr. 360 Solver