Question

If the polynomial p(x) is being divided my x-r, the remainder is p(r) TRUE OR FALSE

Answer 1

True. Remainder when divided by (x-r) is p(r).

Answer 2

TRUE

Explanation:

Let p(x) is divided by (x-r)

Then, by division algorithm of polynomials

• p(x) = (x-r) Q(x) + R

R is the remainder and it is a constant because according division algorithm degree of remainder is always less than degree of divisor and greater than Or equal to 0. So it is 0.

Q(x) is quotient.

Now, if we particularly put x = r in the equation, we get.

• p(r) = ( r-r) Q(r) + R

• p(r) = R