Question

p (x) divide by (x-a ). find the remainder

Answer 1

if p(x) is divided by (x-a),

then the remainder will be p(a)

Answer 2

Answer:  The answer is p(a).

Step-by-step explanation:  We are given to find the remainder when p(x) is divided by (x - a).

We will be using Remainder Theorem here, which states that

If f(x) be a polynomial and (x-a) is a factor of f(x), then dividing f(x) by (x-a)a) gives the remainder equal to f(a).

Thus, when we divide polynomial p(x) by (x-a), the remainder will be p(a).

For example, if p(x) = x²-9, (x+3) will be a factor of p(x), so when we divide p(x) by (x+3), the remainder will be

p(-3) = (-3)² - 9 = 9 - 9 = 0.