What is the coefficient
5b^2-4b+6

 2.1     Factoring  5b²-4b+6 

The first term is,  5b²  its coefficient is  5

The middle term is,  -4b  its coefficient is  -4 

The last term, "the constant", is  +6 

Step-1: Multiply the coefficient of the first term by the constant   5 • 6 = 30 

Step-2: Find two factors of  30  whose sum equals the coefficient of the middle term, which is   -4 

Observation: No two such factors can be found !! 
Conclusion : Trinomial can not be factored

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