Question

if a polynomial p x is divided by x minus a then find its reminder​

Answer 1

hey mate!
i don't understand this question.
please write it properly.

Answer 2

If a polynomial p(x) is divided by (x - a) then the reminder​ will be 'p(a)'.

Let me prove it.

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

where p(x) and (x - a) are dividend and divisor respectively, as given in the question, and q(x) and r are quotient and remainder thus obtained respectively.

As this equality holds true, it is applicable for all values of x, even x = a too.

So let me take x = a.

Then the equation will be,

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

⇒ p(a) = r

This means that p(a) will be the remainder.

Hence proved!

See my question in quora:

www.quora.com/How-can-I-prove-that-if-p-x-is-divided-by-x-a-then-the-remainder-will-be-p-a

Hope this helps you. ^_^

Please mark it as the brainliest.

Please ask me if you have any doubt.

Thank you. :-))