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tootsi123
 one year ago
Which of the following is polynomial factor of 8x^2+22x6?
A (4x3)
B (4x+3)
C (8x2)
D (8x+3)
E (8x+6)
tootsi123
 one year ago
Which of the following is polynomial factor of 8x^2+22x6? A (4x3) B (4x+3) C (8x2) D (8x+3) E (8x+6)

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jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0what is the GCF of 8,22, and 6 ?

tootsi123
 one year ago
Best ResponseYou've already chosen the best response.0Oh wait i think i get it hold on... 8= 2^3 22=2*11 6=2*3

tootsi123
 one year ago
Best ResponseYou've already chosen the best response.0is that right so far??

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0notice how 2 is a factor in each, so we can factor out 2 8x^2+22x6 = 2(4x^2+11x  3)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0how would we factor 4x^2+11x  3 ?

tootsi123
 one year ago
Best ResponseYou've already chosen the best response.0Wouldn't you start simplifying the problem?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0multiply the first coefficient (4) and the last term (3) 4*(3) = 12 what two factors of 12 add to 11 ?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0put another way: what two numbers multiply to 12 and add to 11?

tootsi123
 one year ago
Best ResponseYou've already chosen the best response.0Wait i am confused... i thought you couldn't combine terms unless they were like terms.... and would 3 be one

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0I'm not combining like terms

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0I'm asking for the two numbers because it will help factor

tootsi123
 one year ago
Best ResponseYou've already chosen the best response.0oh. Okay so 11 is a prime number so its only factor is one.

tootsi123
 one year ago
Best ResponseYou've already chosen the best response.012 could be 6,2,3,4

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0here are all of the ways to multiply two whole numbers to get 12 1*12 2*6 3*4 4*3 6*2 12*1 which pair of factors will add up to 11?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0yep 1*12 = 12 1 + 12 = 11

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0so we can break up the 11x into 1x + 12x

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.04x^2+11x  3 4x^21x + 12x  3

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0then we'd factor 4x^21x + 12x  3 by grouping

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0group up the terms in pairs 4x^21x + 12x  3 (4x^21x) + (12x  3) do you see what step is next?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0specifically you factor each group

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0how can you factor 4x^21x ?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0we can factor out x, agreed? 4x^2  1x = x(4x  1)

tootsi123
 one year ago
Best ResponseYou've already chosen the best response.0oh yeah since they are like terms

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0how would you factor 12x  3 ?

tootsi123
 one year ago
Best ResponseYou've already chosen the best response.0Wouldn't you just do 12 3 and then add the x

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0what factors do 12 and 3 have in common?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.012x and 3 aren't like terms

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0yeah so 12x  3 = 3(4x  1)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.04x^21x + 12x  3 (4x^21x) + (12x  3) x(4x  1) + 3(4x  1)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0what factor shows up twice?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0the 4x1 shows up twice

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0we can factor that out x(4x  1) + 3(4x  1) will turn into (x+3)(4x  1)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0so hopefully you see how 8x^2+22x6 factors to 2(x+3)(4x  1)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0go over the steps a few times to make sure you have a solid grasp of it. you can ask questions if you aren't sure about a step or two
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