In each of the following, using the remainder theorem, find the remainder when f ( x ) is divided by g ( x ): f ( x ) = x 3 -6 x 2 +2 x -4, g ( x ) = 1-2 x

Question

Philoid · Accepted Answer

We have,

f(x) = x³-6x²+2x-4 and g(x) = 1-2x

Therefore, by remainder theorem when f (x) is divided by g (x) = -2 (x - ), the remainder is equal to f ()

Now, f(x) = x³-6x²+2x-4

f () = ()³ – 6 ()² + 2 () – 4

= - + 1 – 4

=

Hence, required remainder is

In each of the following, using the remainder theorem, find the remainder when f(x) is divided by g(x):f(x) = x3-6x2+2x-4, g(x) = 1-2x

In each of the following, using the remainder theorem, find the remainder when f(x) is divided by g(x):
f(x) = x³-6x²+2x-4, g(x) = 1-2x