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.

Answer 1

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 2

Ok here is your question but on Y!A...I was gonna say exactly this but it avoids my typing so much:)
The answer was:
What you do is multiply the 2 and the 15, getting 30. Now, you find two numbers that also have a product of 30, but have a sum of 13. Those numbers are 10 and 3.

Separate the 13x into 10x and 3x ~ thus making your four term polynomial.

2x² + 10x + 3x + 15

Next factor by grouping. You factor the 2x² + 10x, and you factor the 3x + 15

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

Notice how both 2x and 3 are multiplied by (x + 5)? You can combine them into a binomial that's multiplied by (x + 5) like this:

(2x + 3)(x + 5)
http://answers.yahoo.com/question/index?qid=20110511184844AAPFi3m

Answer 3

Thank you! :)