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