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.

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.

Question

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.

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.

zepp · Answer

Part 1:
Find the 2 numbers which sum gives 13 and product gives 3 x 15
I got 3 and 10 with factors.
So, 2x^2 + 13x + 15 could be, in a four term polynomial:
$$2x ^{2}+10x+3x+15$$

zepp · Answer

Part II:
Set the 2 numbers: let's say 4 and 9

4+9=13
4*9=36

Now find something else that give 36: 6*6
We're all set, now plug stuffs into the basic equation:
$$6x ^{2}+4x+9x+6$$$$6x ^{2}+13x+6$$

anonymous · Answer

THANKS!