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anonymous
 3 years ago
Factor the polynomial: 54k^224
anonymous
 3 years ago
Factor the polynomial: 54k^224

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anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0@jim_thompson5910 Help?

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.0hint: 54k^2  24 6(9k^2  4)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Where did you get the 9k^2 in the second line?

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.0I factored out 6 from the expression

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.054k^2  24 6*9k^2  6*4 6(9k^2  4) .. using the distributive property

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0@jim_thompson5910 oh okay I get it, but then there's no number that multipies to give 4 and adds to 9? thats where im stuck at

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.0from here, you would use the difference of squares rule to factor

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.0and 9k^2  4 is really 9k^2 + 0k  4 so you need to find two numbers that multiply to 9*(4) = 36 and add to 0, then you factor by grouping or you can use the difference of squares rule to factor

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0the difference of squares rule?

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.0difference of squares a^2  b^2 = (a  b)(a+b)

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.0ex: 25x^2  49 (5x)^2  (7)^2 (5x  7)(5x + 7) So 25x^2  49 factors to (5x  7)(5x + 7)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1376179696291:dw

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0im sorry im still confuse by this

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0basically it has to do with common factors

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.0did you see my factoring example with 25x^2  49

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.0so use that to factor 9k^2  4

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Following your example so far I've got (3K)^2(2)^2

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0I got (3x2)(3x2) ?? @jim_thompson5910

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.0close, very close

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0where did i go wrong?

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.0the difference of squares rule is a^2  b^2 = (a  b)(a+b)

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.0notice how it's minus, then plus (not two minuses)

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.0it's NOT a^2  b^2 = (a  b)(ab)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0so then its (3x2)(3x+2)

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.0the final answer is 6(3k2)(3k+2)
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