Question

exercise 2. 3 find the reminder when
$x3 + 3x + 1 divided by the following liner polynomils byx + 1$
​

Answer 1

$x+1 = 0$

$x = -1$

$Now,$

$p(x) = {x}^{3}+3x+1$

$p(-1) = {(-1)}^{3}+ 3×(-1) +1$

$\implies$$-1 -3+1$

$\implies$$-4+1$

$\implies$ $-3$

$\text{Hence\: remainder\: is\: -3 }$