Question

if f (x) = 2x³ - 3x - 2 then is the remainder when f(x) is divided by x - 4

Answer 1

We will solve as follows:

*We identify the coefficients:

2, 0, -3 & -2.

*Now, we find the zeroes on the denominator:

x -4 = 0 => x = 4.

*Finally, we begin solving it:

4 : 2 0 -3 -2

:______8____32___116__

2 8 29 114

From this, we have that the remainder is 114.

Now, the whole solution is:

$2x^2+8x+29+\frac{114}{(x-4)}$