Factor 6x2 + 19x + 15.
A) (2x + 5)(3x + 3)
B) (6x + 1)(x + 15)
C) (6x + 15)(x + 1)
D) (2x + 3)(3x + 5)
2007-05-30 03:45:59 · 5 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
First of all, I'm assuming the first term is actually 6x^2.
You have a few choices. One option is to expand all 4 answers to see what you get. There are also several different methods taught for factoring polynomial expressions. My favourite one works like this: list all the common factors of each outside term, then match them up so that you get the middle one.
The possible terms to get 6x^2 are 2x*3x and 6x*1x
The possible terms for 15 are 3*5 and 15*1
2x(3) + 3x(5) = 21x so incorrect
6x(3) + x(5) = 23x so also incorrect
6x(5) + x(1) = 31x definately incorrect
6x(1) + x(15) = 21x still incorrect
6x(15) + x(1) = 91x way off
2x(15) + 3x(1) = 33x wrong
2x(1) + 3x(15) = 47x wrong again
leaving 2x(5) + 3x(3) = 19x correct!
put these together in the correct form and you have (2x+3)(3x+5) which is answer D
Of course, you usually don't have to go through all the possible combinations of factors. Many of them will be obviously wrong, such as 6x(15) and so on.
2007-05-30 04:00:21 · answer #1 · answered by aladrieth 2 · 1⤊ 0⤋
D.
=
First, Inside, Outside, Last
6x^2 + 9x + 10x + 15
2007-05-30 03:48:48 · answer #2 · answered by Anthony 2 · 0⤊ 0⤋
quite None. Rosemary has a piny fragrant scent that fermients any foodstuff it quite is married with. in case you have some flat leaf parsley or and cilantro combination them at the same time. good luck
2016-12-30 07:06:04 · answer #3 · answered by letitia 3 · 0⤊ 0⤋
d as they say
2007-05-30 03:52:30 · answer #4 · answered by Anonymous · 0⤊ 0⤋
D
2007-05-30 03:48:52 · answer #5 · answered by hcbiochem 7 · 0⤊ 0⤋