Question

Find the remainder on dividing p(x) =3x +x 2 +5 by 1+x

Answer 1

1+x=0

x=-1

putting x=-1 in equation

${x}^{2} + 3x + 5 \\ \\ { - 1}^{2} + 3 \times - 1 + 5 \\ \\ 1 - 3 + 5 \\ \\ 3$

Remainder is 3