Question

what is the remainder when 4x^4-3 x^3 + 2 x^2 - x is divided by X + 1

plz help me out its very important for me​

Answer 1

Answer:

Say (x^4 + x^3 + 2x^2 + x + 1) = F(x)

and (x-1) = f(x).

The easiest process is to put the the value of x in f(x) = 0, in F(x). The value of F(x) will be the remainder.

f(x) = 0

or, (x - 1) = 0

or, x = 1

Now putting x = 1 in F(x),

1^4 + 1^3 + 2×1^2 + 1 + 1

= 1 + 1 + 2 + 1 + 1

= 6.