Question

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

first multiply 2 by 15 = 30
now look for factors of 30
and look to see if you can get the 13 :

30 = 2 * 15
30 = 3 * 10

3 + 10 = 13

so we write:

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

Answer 2

so we gruop the first 2 and last two terms to give

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

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

Answer 3

hope this helps

Answer 4

thanks