Identify the factors of 4x2 + 12x + 9.

Question

anonymous · Answer

is this for a test or homework of something so i can better understand

anonymous · Answer

i think the easiest way to find the factors would be to plug them into the quadratic equation $$x=\frac{ -b \pm \sqrt{b ^{2}-4ac} }{ 2a }$$ for ax^2+bx+c 
so in your case a=4 b=12 and c=9 you should get 2 possible answers and those would be your factors, hope this helps!

e.mccormick · Answer

One thing to think about is if there is a relationship between the outer and inner coefficients.  There are some methods for doing this, which I do not remember the best of, but if you look at 4, 12, and 9, do you see any relationship between the factors of 4 and the factors of 9 that can add up to 12?  A quick look might save you time over doing the quadratic formula for every quadratic equation.