In each of the following, using the remainder theorem, find the remainder when f ( x ) is divided by g ( x ): f ( x ) = 9 x 3 -3 x 2 + x -5, g ( x ) = x =

Question

Philoid · Accepted Answer

We have,

f(x) = 9x³-3x²+x-5 and g(x) = x=

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

Now, f(x) = 9x³-3x²+x-5

f () = 9 ()³ – 3 ()² + – 5

= (9 * ) – (3 * ) + – 5

= - + – 5

= 2 – 5 = -3

Hence, the required remainder is -3.

In each of the following, using the remainder theorem, find the remainder when f(x) is divided by g(x):f(x) = 9x3-3x2+x-5, g(x) = x=

In each of the following, using the remainder theorem, find the remainder when f(x) is divided by g(x):
f(x) = 9x³-3x²+x-5, g(x) = x=