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anonymous
 5 years ago
What Is the Factored Form Of Each Expression?16x^2 + 24x + 9
Please Help Me!
anonymous
 5 years ago
What Is the Factored Form Of Each Expression?16x^2 + 24x + 9 Please Help Me!

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0note that the x^2 term and the constant term are both perfect squares. it looks like it might be (4x+3)^2 and a quick check verifies that the middle terms add up to 24x

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Thanks, That's Actually Exactly it! Thanks so Much! =)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0If you have a similar problem doesn't work out nicely, or you don't "just see it", there is a sure fire way to factor a quadratic.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0any quadratic will factor into \[k(xr1)(xr2)\] where r1 and r2 are called the roots. to find the roots of some quadratic, do the following

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0let our quadratic be ax^2+bx+c. Then \[x=\frac{b \pm \sqrt{b^24ac}}{2a}\] For example, in this case a=16, b=24, and c=9 and if you plug those in, it would work out to be 3/4, which is the solution to 16x^2+24x+9=0
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