Question

Factor the trinomial

Answer 1

Answer:

The factor form is $\left(s-1\right)\left(s-5\right)$

Step-by-step explanation:

When the factor of the expression is to be found, then take the common terms are to be taken by various methods. The best method is the middle term split method if we have the quadratic polynomial.

Now, here we have to find the factor of the expression:

$s^2-6s+5$

Now, this can be rewritten as:

$s^2-6s+5\\=\left(s^2-s\right)+\left(-5s+5\right)$

So here we can see that we can find the common terms, as follows:

$\left(s^2-s\right)+\left(-5s+5\right)\\=s\left(s-1\right)-5\left(s-1\right)$

Taking $(s-1)$ common, we get:

$s\left(s-1\right)-5\left(s-1\right)\\=\left(s-1\right)\left(s-5\right)$

So the required factor form is:

$s^2-6s+5=\quad \left(s-1\right)\left(s-5\right)$