You are familiar with the following types of factoring:

factoring out the Greatest Common Factor (GCF)
factoring by grouping
factoring trinomials of the form x2 + bx + c and ax2 + bx + c

As you know, you need to know the first two types of factoring listed above in order to be successful in factoring trinomials of the form ax2 + bx + c.

Part 1:
In your own words, 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.

Question

You are familiar with the following types of factoring:

    factoring out the Greatest Common Factor (GCF)
    factoring by grouping
    factoring trinomials of the form x2 + bx + c and ax2 + bx + c

As you know, you need to know the first two types of factoring listed above in order to be successful in factoring trinomials of the form ax2 + bx + c.

Part 1:
In your own words, 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.

anonymous · Answer

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.