AM-1278

Remainder and factor theorems

A Math · Secondary 4 · Hard · Remainder and factor theorems

A polynomial is given by

f(x) = px^3 - (3p+q)x^2 + 5x + q,

where

p

and

q

are constants.

It is given that

f(x)

is exactly divisible by

(x-2)

and that the remainder when

f(x)

is divided by

x

is 4.

Find the value of

q

Loading problem…