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anonymous

  • 5 years ago

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

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  1. anonymous
    • 5 years ago
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    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

  2. anonymous
    • 5 years ago
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    Thanks, That's Actually Exactly it! Thanks so Much! =)

  3. anonymous
    • 5 years ago
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    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.

  4. anonymous
    • 5 years ago
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    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

  5. anonymous
    • 5 years ago
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    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

  6. anonymous
    • 5 years ago
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    Thank You

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