Question

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

Answer 1

note 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

Answer 2

Thanks, That's Actually Exactly it! Thanks so Much! =)

Answer 3

If 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.

Answer 4

any quadratic will factor into
\[k(x-r1)(x-r2)\]
where r1 and r2 are called the roots.
to find the roots of some quadratic, do the following

Answer 5

let our quadratic be ax^2+bx+c. Then
\[x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}\]
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

Answer 6

Thank You