Question

Factoring trinomials 10b × 2 + 17b + 3

Answer 1

(I'm assuming the first term is 10 b squared)

The first thing you need to know before diving in is to find the factors of 10 and 3.
10 = 1x10, 2x5
3 = 1x3

Next you will have to find a combination that when multiplied the middle term is 17. In this case it is 2x5 and 1x3. We can test it out by setting it up in binomials.

(2b + 3)(5b + 1) = 10b squared + 2b + 15b + 3 = 10b squared + 17b + 3.
The reason why the binomials are additions is because both the middle and end terms are positive.

Hope this helps!