Question

If you were an Algebra 1 instructor and were creating a test on factoring trinomials of the form ax^2 + bx + c, what do you think would be the easiest way to create a trinomial that can be factored? Provide one unique example.

Answer 1

I would take two binomials and multiply them to create a trinomial.

(2b + 1) * ( 3b - 6) = 6 b^2 - 9b - 6.

For the test, write: Factor completely: 6 b^2 - 9b - 6