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.

Answer 1

Find two numbers that add up to 13 and multiply to 30.. In this case 3 and 10 are idea.

so now can you factor by grouping

2x^2 +10x + 3x +15

2x(x+5) +3 (x+5)

2) There are many trinomials that can easily be factored. Work on it.

Answer 2

oh im sorry my head kinda hurts, could u kinda help me with this and explain the method on how i would slove problems like these? @mebs

Answer 3

@BlackLai Its as I said... trinomials can be factored by the method I said above.

ex. 2x2 +8x +8

take two numbers that add to 8 and multiply to 16. Well those two number are 4 and 4.

so

2x^2 +4x +4x +8

2x(x+2) +4 (x+2)

you just have to be able to find the two numbers and divide the middle term.

If it has to co-efficient at the front than you just use the last term

x2 +7x +12

two number add to 5 and multiply to 12. those would be 3 and 4

so

x^2 +4x +3x +12

x(x+4) +3(x+4)

and done.

Answer 4

hm i think i got part of it, thank you