# If #P(x)# is divided by #(x-a)(x-b)# where #a!=b, a,b in RR#, can you prove that the remainder is: #((P(b)-P(a))/(b-a))xx(x-a)+P(a)#?

##### 1 Answer

Feb 24, 2017

See below.

#### Explanation:

The determination of

and the remainder is