Question

deduce the factor theorem from the remainder theorem​

Answer 1

Answer:

The proof of The Factor Theorem is a consequence of what we already know. If (x−c) is a factor of p(x), this means p(x)=(x−c)q(x) for some polynomial q. ... In this case, The Remainder Theorem tells us the remainder when p(x) is divided by (x−c), namely p(c), is 0, which means (x−c) is a factor of p