Question

Find the quotient and remainder using synthetic division(x2
-2x3
-5x+6)÷(x-3)​

Answer 1

$= {x}^{2} - 2 {x}^{3} - 5x + 6$

$x - 3 = 0 \: \: \: so \: x = 3$

$put \: \: x \: in \: upper$

$= - 2 {x}^{3} + {x}^{2} - 5x + 6$

$= - 2( {3})^{3} + ( {3})^{2} - 5(3) + 6$

$= - 2(27) + 9 - 15 + 6$

$= - 54 + 9- 15 + 6$

$= - 54$

$Remainder \: will \: be = - 54$