Question

On dividing 3 x cube minus 2 x square + 5 x minus 5 by the polynomial gx the quotient and remainder are x square minus x + 2 and minus 7 spectabilis find gx

Answer 1

gx=
$3 {x}^{3} - 3 {x}^{2} + 4x$
DIVIDEND= Q×d + R


Here,
D=
$3 {x}^{3} - 2 {x}^{2} + 5x - 5$
Q=
${x}^{2} - x + 2$
d= gx

R= -7