calculusxy
  • calculusxy
factoring quadratic expression...
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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calculusxy
  • calculusxy
\[\huge 12x^2 + 12x + 3\]
calculusxy
  • calculusxy
@Nnesha @hartnn
Rizags
  • Rizags
factor out a 3 first

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calculusxy
  • calculusxy
\[\large 3(4x^2 + 4x + 1) \]
Rizags
  • Rizags
Then you'll notice something about the resulting quadratic
Rizags
  • Rizags
hint: \[(a+b)^2 = a^2+2ab+b^2\]
calculusxy
  • calculusxy
i still don't understand
Rizags
  • Rizags
using my model, let\[\large a=2x\] and \[\large b=1\]
calculusxy
  • calculusxy
ok
calculusxy
  • calculusxy
can you please get to the point?
Rizags
  • Rizags
ok, then \[12x^2+12x+3 = 3(2x+1)^2\]
Nnesha
  • Nnesha
there 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 c-constant
Nnesha
  • Nnesha
|dw: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
  • calculusxy
36: 1, 2, 3, 4, 6, 9, 12, 18, 36
Nnesha
  • Nnesha
first step)take out the GCF so 3( 4x^2+4x+1) is correct
Nnesha
  • Nnesha
\[3 \color{ReD}{(4x^2+4x+1)}\] now we factor the quadratic equation 4x^2+4x+1
calculusxy
  • calculusxy
how do we factor that?
Nnesha
  • Nnesha
how do you want to factor it ? you can use quadratic formula or AC method i posted above
calculusxy
  • calculusxy
ac
Nnesha
  • Nnesha
alright read my comments let me know if you have a question :=)
calculusxy
  • calculusxy
i multiplied 4 x 1 = 4 factors of 4: 1, 2, 4
Nnesha
  • Nnesha
4 times 1 = 4 now what two numbers add up to 4 and when u multiply them you should get 4
calculusxy
  • calculusxy
3(2x + 1)(2x + 1)
Nnesha
  • Nnesha
hmm 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
  • Nnesha
can you please how u got 2x+1 ?? :=)
Nnesha
  • Nnesha
explain*
calculusxy
  • calculusxy
|dw:1444169574708:dw|
Nnesha
  • Nnesha
perfect!!!
calculusxy
  • calculusxy
and then i carried down the 3
calculusxy
  • calculusxy
|dw:1444169772616:dw|
Nnesha
  • Nnesha
|dw:1444169756892:dw| forgot the positive sign
Nnesha
  • Nnesha
yes right
calculusxy
  • calculusxy
okay thanks!

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