factor theorem

In this blog let us learn about factor theorem,

Proof of Factor Theorem:In this blog we will learn about factor theorem,

P(x) is divided by x-a,
Using remainder theorem,
R = p (a)
P(x) = (x-a).q(x) + p(a)
But p (a) = 0 is given.
Hence p(x) = (x-a).q(x)
(x-a) is the factor of p(x)
Conversely if x-a is a factor of p(x) then p(a)=0.
P(x) = (x-a).q(x) + R
If (x-a) is a factor then the remainder is zero (x-a divides p(x)
Exactly)
R=0
By remainder theorem, R = p (a) .Next let us learn about area of a circle formula,in the next blog we will learn about math definitions for kids.Hope you like the above example of factor theorem,please leave your comments if you have any doubts.