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Mathematics 8 Online
OpenStudy (anonymous):

please help ): Factor completely: 3x^2 + 10x + 3 prime (3x + 3)(x + 1) (3x + 1)(x + 3) (3x − 1)(x − 3)

jimthompson5910 (jim_thompson5910):

the first coefficient is 3 the last term is 3 they multiply to 3*3 = 9

jimthompson5910 (jim_thompson5910):

what two numbers a) multiply to 9 AND b) add to 10

OpenStudy (anonymous):

um im not sure this really confuses me ): @jim_thompson5910

jimthompson5910 (jim_thompson5910):

list out the ways to multiply two numbers to get 9 1*9 3*3 which of those pairs add to 10?

jimthompson5910 (jim_thompson5910):

it's not prime uri

OpenStudy (uri):

3x1=3 3+1=4 @jim_thompson5910

jimthompson5910 (jim_thompson5910):

idk what you're referring to exactly

jimthompson5910 (jim_thompson5910):

oh you're looking at the answer choices

OpenStudy (uri):

Hm middle term breaking.

OpenStudy (uri):

Ya actually..

jimthompson5910 (jim_thompson5910):

well that trick only works if both leading coefficients for the binomial factors are 1

OpenStudy (anonymous):

im confused so is it prime?

OpenStudy (uri):

Looking at her options it's Prime.

jimthompson5910 (jim_thompson5910):

9 and 1 multiply to 9 and add to 10

jimthompson5910 (jim_thompson5910):

so 3x^2 + 10x + 3 breaks into 3x^2 + 9x + x + 3 now factor by grouping

OpenStudy (uri):

+ 10x + 3<== We look at this..

OpenStudy (uri):

9x1=9 not 3.

jimthompson5910 (jim_thompson5910):

uri it's not prime

OpenStudy (uri):

lol.

OpenStudy (anonymous):

2x^2 − 6x − 20 (2x − 10)(x + 2) (x − 5)(2x + 4) 2(x − 5)(x + 2) prime is this one prime too?

OpenStudy (uri):

How are you getting 9x +x when there should be a integral which when adding or subracting should be 10 and muliplying 3 @jim_thompson5910

OpenStudy (uri):

3 doesn't come in any table except 3 x1 =3

OpenStudy (uri):

Maybe I'm wrong...idk..@jim_thompson5910 is a genius.

OpenStudy (uri):

99 SS lol

jimthompson5910 (jim_thompson5910):

Break up 10x into 9x+x, then factor by grouping 3x^2 + 10x + 3 3x^2 + 9x + x + 3 (3x^2 + 9x) + (x+3) 3x(x + 3) + 1(x+3) (3x + 1)(x + 3)

OpenStudy (uri):

2x^2 − 6x − 20 find the common..that is 2 2(x^2-3x-10)

OpenStudy (uri):

I'm not aware of grouping method..

OpenStudy (uri):

I was doing the simple factorization..

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