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#8 (permalink) |
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Senior Member
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Yes, I got excited when I saw math in the title, as I thought this would be moderately hard. I'm not saying your dumb (a lot of people have problems with factoring when they first learn it), but I expected at least some integration or some type of calculus
![]() Ahh, having a Bachelors degree in Math and not being able to use it, sigh. |
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#10 (permalink) | |
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Senior Member
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Quote:
yes im a freshman in college and am in math 012......im actually good at math, but that year and a half off of school, i lost my memory |
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#12 (permalink) |
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Junior Member
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JUst break it down in your head. What times what equals 7.....umm 7 and 1 and what makes x^2 only x times x.
So we already have (7x )(x )... Then what times what equals four i chose 2 times 2 because it was the first thing that came to my head. So now we have (7x 2)(x 2) In the original equation you had 7x^2+16x+4 so the +4 tells us that either the signs are both going to be + or both are going to be -,and since we have +16x that means we have + signs in both parenthases. So now we have (7x+2)(x+2) NOw just solve for x.. I Hope this makes sence, becuase it does in my head LOL |
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#15 (permalink) | |
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Senior Member
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The derivative of 7x^2 + 16x + 4 is 14x + 16 and the integral is 7/3 x^3 + 8x^2 + 4x + C (C is the constant of integration) Maybe its over some people's heads, but thats elementary calculus if anyone cares :) |
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#19 (permalink) |
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You should get the concept down first, rather than doing it by trial and error.
The first step would be to make sure the equation is correctly arranged, beginning with the highest degree and ending in a constant (if necessary). ![]() You'll notice the first term is the highest degree and it's in a descending order where c is just some constant with no variable attached to it. For this particular example, there is no coefficient (number) in front of the first term, so your factor would look something like this (k is some constant/number): ![]() Both brackets will begin with the variable, x. Next, the k's or constant will: 1) Have a product (multiply) equal to c (refer to the first diagram - last/third term). 2) Have a sum (added together) equal to whatever bx is (second term of the first diagram). To make it a little easier, let's use an example with numbers: ![]() What two numbers: 1) Multiply together to give you positive 6 2) Add together to give you negative 5? Answer is -3 and -2. Since there is no coefficient in front of the first term, you can just stick it in the brackets and go away with it: ![]() If there's a constant in front of the first term which has the highest degree, then you will have to go through a method of trial and error. For example: ![]() There's a 3 in front of the term with the highest degree, so we can't apply what I initially wrote. Instead your brackets would look like: ![]() a * c = 3x^2 -----> The first term in the original equation b * d = 2 ---------> The third term in the original equation When figuring out numbers, the "bx" term no longer matters. So what choices do we have for a and c? 3 is a prime number, so it has to be 3 * 1. ![]() The next step would be finding the second terms of both brackets that would give you 2. Let's try -2 and -1. ![]() Well, it didn't work... the method is called trial and error, so let's try switching positions of the -2 and -1 from each bracket: ![]() I hope that helps. Again, get the concept down and then do problems. It would be a mere waste of time to just swap numbers in and out till they work.
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