A polynomial `p (x)` leaves remainders 75 and 15 , respectively , when divided by `(x-1)and (x+2)`. Then the remainder when `f(x)` is divided by `(x-1)(x+2)` is _______.
A. `5(4x+11)`
B. `5(4x-11)`
C. `5(3x+11)`
D. `5(3x-11)`
A. `5(4x+11)`
B. `5(4x-11)`
C. `5(3x+11)`
D. `5(3x-11)`
Correct Answer – A
(i) `f(1)=75,f(-2)=15`.
`”Dividend”=”Divisor”xx”Quotient”+ “Remainder”`.