Factor Theorem

 In this blog we are going to discuss about a math concept factor Theorem.

If p(x) is a sum x is mullioned by (x-a) and the remnant f (a) is   match to zero then (x-a) is an figure of p(x). We can resolve amount expressions of point trey or more using figure theorem and polysynthetic partition. Let us see grounds of Figure Theorem.

Proof of factor theorem

P(x) is apart by x-a,

Using remainder theorem,

R = p (a)

P(x) = (x-a).q(x) + p(a)

But p (a) = 0 is presumption.

Thence p(x) = (x-a).q(x)

(x-a) is the reckon of p(x)

Conversely if x-a is a constant of p(x) then p(a)=0.

P(x) = (x-a).q(x) + R

If (x-a) is a constant then the residuum is zero (x-a divides p(x)

Exactly)

R=0

By residual theorem, R = p (a)

Next time we will learn more about this concept. Also we will discuss prime numbers lists.