Question

Part 1:
explain how a trinomial of the form 2x2 + 13x + 15 can be turned into a four term polynomial suitable for factoring by grouping. Use complete sentences.

Part 2:
If you were an Algebra 1 instructor and were creating a test on factoring trinomials of the form ax2 + 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

we need 2 numbers whose product = 2 * 15 ( = 30) and whose sum is + 13

Answer 2

these are 10 and 3

so we have 2x^2 + 10x + 3x + 15