Question

For the polynomial p(x), if p(3) = 0, then x-3 is a factor of p (x) .​

Answer 1

Hence proved that if p(3) =0 then x - 3 is a factor of polynomial p(x) by the factor formula x-k.

Given that,

The for the polynomial p(x)

We have to prove that if p(3)=0 then x-3 is a factor of p(x).

We know that,

What is factor?

Factorisation is the process of determining the components of a given value or mathematical statement. The integers that are multiplied to create the original number are known as factors.

Now,

p( 3 ) = 0

Here,

k = 3

Then,

x - k is a factor

x - (3) = x - 3

Therefore, Hence proved that if p(3) =0 then x - 3 is a factor of polynomial p(x).

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