Question

if x - a is divided by p(x) then p(a)=​

Answer 1

Answer: If a polynomial p(x) is divided by x-a, then it's remainder is p(a).

Answer 2

Step-by-step explanation:

p(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

p(a)=0*q(a)+r(a)

p(a)=r(a)

hence the remainder is p(a)