Help with College Algebra?

Question

I've been struggling with this problem for a while now and am on the verge of giving up. The instructions say I have to simplify it but it doesn't appear to be possible. Can anyone tell me how to do this? I have a test coming up and this is going to be a big part of it. ;~;

(4x²+10x+4) / (x+2)

Algebra House · Accepted Answer

4x² + 10x + 4
-------------------
x + 2

2(2x² + 5x + 2)
--------------------- {factored 2 out of top}
x + 2

2(2x + 1)(x + 2)
----------------------- {factored top into two binomials}
x + 2

= 2(2x + 1) {cancelled x + 2 on top and bottom}

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Daniel · Answer

first divide out the 4 on top
4(x^2 + 10 + 4) / (x+2) if you can't factor use the quadratic equation
then x would = -2,-1/2 from quadratic equation so the factored form would be
4(x+2)(x+1/2)/(x+2) then you can simplify 
4(x+1/2)
4x + 2 is the answer

𝚺𝚷𝚿𝛀𝚿 · Answer

(4xÂ²+10x+4) / (x+2)=2(2x^2+5x+2)/(x+2)

=2(2x+1)(x+2)/(x+2)  x+2 cancels out

=2(2x+1) or 4x+2

Help with College Algebra?

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