Question

find the remainder when 3 X raise to power 4 - 4 x raise to power 3 minus 3 x minus 1 is divided by X + 2​

Answer 1

Answer:

85

Step-by-step explanation:

$f(x)=3x^4-4x^3-3x-1$

Remainder theorem

$f(x)=g(x)Q(x)+R(x)$

If we divide f(x) by g(x), quotient is Q(x) and remainder is R(x).

g (x) = x - 2

$f(x)=(x-2)Q(x)+R(x)$

If we put x = 2, then

$f(2)=0*Q(2)+R(2)\\\\f(2)=R(2)$

We get the remainder.

$f(2)=3*16-4*(-8)-3*(-2)-1\\=48+32+6-1\\=85$