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calculusxy
 one year ago
factoring quadratic expression...
calculusxy
 one year ago
factoring quadratic expression...

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calculusxy
 one year ago
Best ResponseYou've already chosen the best response.1\[\huge 12x^2 + 12x + 3\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0factor out a 3 first

calculusxy
 one year ago
Best ResponseYou've already chosen the best response.1\[\large 3(4x^2 + 4x + 1) \]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Then you'll notice something about the resulting quadratic

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0hint: \[(a+b)^2 = a^2+2ab+b^2\]

calculusxy
 one year ago
Best ResponseYou've already chosen the best response.1i still don't understand

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0using my model, let\[\large a=2x\] and \[\large b=1\]

calculusxy
 one year ago
Best ResponseYou've already chosen the best response.1can you please get to the point?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok, then \[12x^2+12x+3 = 3(2x+1)^2\]

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2there are like 4+ ways to factor quadratic equation i like AC method where we find two numbers when we multiply them we should get product of AC (a=leading coefficient , C= constant ) and when we add them we should get middle term which is b \[\rm Ax^2+Bx+C\] a=leading coefficient b=middle term cconstant

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2dw:1444168815625:dw multiply A times C what two numbers you should multiply to get 4 and when you add them you should get 4

calculusxy
 one year ago
Best ResponseYou've already chosen the best response.136: 1, 2, 3, 4, 6, 9, 12, 18, 36

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2first step)take out the GCF so 3( 4x^2+4x+1) is correct

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2\[3 \color{ReD}{(4x^2+4x+1)}\] now we factor the quadratic equation 4x^2+4x+1

calculusxy
 one year ago
Best ResponseYou've already chosen the best response.1how do we factor that?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2how do you want to factor it ? you can use quadratic formula or AC method i posted above

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2alright read my comments let me know if you have a question :=)

calculusxy
 one year ago
Best ResponseYou've already chosen the best response.1i multiplied 4 x 1 = 4 factors of 4: 1, 2, 4

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.24 times 1 = 4 now what two numbers add up to 4 and when u multiply them you should get 4

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2hmm well in this question AC=4 and b=4 so two numbers are 2 times 2 =4 2+2= 4 and bec leading isn't equal to one we should factor by grouping dw:1444169462918:dw keep the first and last term write both numbers in the middle

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2can you please how u got 2x+1 ?? :=)

calculusxy
 one year ago
Best ResponseYou've already chosen the best response.1dw:1444169574708:dw

calculusxy
 one year ago
Best ResponseYou've already chosen the best response.1and then i carried down the 3

calculusxy
 one year ago
Best ResponseYou've already chosen the best response.1dw:1444169772616:dw

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2dw:1444169756892:dw forgot the positive sign
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