Question

Why x^2+25 does not factor?

Answer 1

Step-by-step explanation:

x^2+25

x²+5²

it doesnot factor because it doesnot give answer in product.it gives only in addition and subtraction

Answer 2

There are several ways to factorize a term:

1. Extract the common factor

2. Factorization by formulae

3. Cross Multiplication

4. Grouping

I'm not sure I will be able to give you a satisfying answer, but asking this question is like saying why can't  $\frac{4}{5}$  be further simplified. You just can't, because it is the simplest form.

However, if it were $x^{2} -25$ , It could be factorized into $( x + 5) (x-5)$.

Hope this clears up your confusion.