On dividing polynomial p(x) by a linear binomial, X - a, we get a quotien statements must be proven true for the remainder theorem to be true

Step-by-step explanation:

Hello, we can write

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

True

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

so the first one is true.

False

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

True

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

False

We cannot say anything on q(a).

True

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

True

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

Thank you

answer: what equations are there

step-by-step explanation: