lalalandbaby
lalalandbaby lalalandbaby
  • 23-04-2017
  • Mathematics
contestada

what is the factored form of 9X^2+12X+4

Respuesta :

liciag liciag
  • 23-04-2017
(3X+2)^2 or (3X+2) x (3X+2)
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irspow
irspow irspow
  • 23-04-2017
This is of the form ax^2+bx+c.  To factor a quadratic like this you want to find two values, j and k, that satisfy two conditions.

jk=ac and j+k=b...in this case:

jk=ac=36 and j+k=b=12, so j and k must be 6 and 6

Now you replace bx with jx and kx in the original equation which gives you:

9x^2+6x+6x+4  now factor the first and second pair of terms...

3x(3x+2)+2(3x+2)  which is equal to:

(3x+2)(3x+2) which is just:

(3x+2)^2
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