Question

When a polynomial denoted by $p\left(x\right)$, is divided by $(x-a)$, then the remainder is:

• A. $-p\left(a\right)$
• B. $p(-a)$
• C. $p\left(a\right)$
• D. $-p(-a)$

Answer 1

The correct option is C $p\left(a\right)$

When a polynomial denoted by $p\left(x\right)$ is divided by (x-a), the remainder is p(a) i.e the value of the polynomial at x = a. This is also known as the Remainder Theorem.