Question

On dividing polynomial p(x) by a linear binomial, X - a, we get a quotien

Answer 1

Answer:

Step-by-step explanation:

Hello, we can write

(1) p(x)=(x-a)q(x)+r

$\boxed{\sf v}$ True

It means that p(a)=0 * q(a) + r = r

so the first one is true.

$\boxed{}$ False

The second one is not to be proven true from the remainder theorem.

$\boxed{\sf v}$ True

For x different from a we can divide the equation (1) by (x-a).

$\boxed{}$ False

We cannot say anything on q(a).

$\boxed{\sf v}$ True

If the rest is 0 then it means that p(a) = 0

$\boxed{\sf v}$ True

If p(a) = 0 it means that the rest r = 0 and then p(x)=q(x)(x-a)

Thank you