Question

Write this trinomial in factored form. 3s2 + 10s + 7

Answer 1

We have the expression:

`3s^2+10s+7`

We factor as follows:

`\Rightarrow(s+1)(3s+7)`

***

We know that the expression when factored is the product of two smaller expressions that give as solution the original expression. We also know that in each expression s is present and in each expression, there is a compliment, so they have the form:

`(as+b)(cs+d)=3s^2+10s+s`

We concentrate in the "extremes" of the trinomial (these being 3s^2 and 7).

We know that each is the product of two different values.

So 3s^2 is the product of as*cs, and we can rapidly see that as = s and