Question

Factor Theorem is equivalent to Remainder Theorem when remainder is ____.

• A. 0
• B. 1
• C. 2
• D. 4

Answer 1

The correct option is A 0

Remainder Theorem states that when a polynomial $f\left(x\right)$ of degree greater than or equal to 1 is divided by a linear polynomial $x-a$, then the remainder is equal to the value of $f\left(a\right)$.

Factor Theorem states that if $a$ is a zero of a polynomial $f\left(x\right)$, then $x-a$ is a factor of $f\left(x\right)$.

$\therefore$ Factor theorem is equivalent to Remainder theorem when remainder is $0$ or $f\left(a\right)=0$.