Question

Factor Theorem is equivalent to Remainder Theorem with remainder $0$.

• A. a
• B. False

Answer 1

The correct option is A a

If $f\left(x\right)$ is a polynomial and is divided by $x-a$, then if $f\left(a\right)=k$, this $k$ will be the remainder, as stated by the Remainder Theorem. If the value of $k$ is $0$, then $x-a$ is the factor of $f\left(x\right)$, as indicated by the Factor Theorem. Hence, the given statement is true.