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# C4, however probably most will be able to help. watch

1. Hi so I am resitting C4 because I was one mark off an A overall and I haven't done maths since last June so it's all a bit foreign right now.

I am doing adding and subtracting polynomials right now and I have come across a problem with showing a polynomial is bigger than a number.

The question is-

Given that x>0, show that (x/(x+2)) + ((x+1)(x+6)/(x^2+2x)) >2

So I have got to the stage where I have (2x+3)/x (I've done all the actual subtracting polynomials work) but how do I show that it's bigger than 2?? I tried putting (2x+3)/x = 0 and = 2 but it's not helping my mind blockage.

Can anyone put me out of my misery please? I am assuming it is such a dead easy thing to do, I just can't remember how to do it. Thanks guys
2. If x>0 then (2x+3)/x = 2 + 3/x > 2 since 3/x > 0

3. Now given that x > 0, what can you guarantee about the value of ?
4. Ahhh you split it up and then because 3/x is always bigger than 0, then that makes the answer always bigger than 2. I can't believe how obvious that is and I couldn't even see it lol. Thank you

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