Question

If a polynomial f(x) is divided by x-a , then what is the remainder?​

Answer 1

Answer:

f(x)=(x−a)q(x)+r(x)

where q(x) is the quotient when f(x) is divided by x−a and r(x)

The Remainder Theorem says that we can restate the polynomial in terms of the divisor, and then evaluate the polynomial 

x=a

hence putting it we get

$$f(a)= 0 \times q(a) + r(a)$$

$$f(a) = r(a)$$

hence  the remainder is f(a)