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Methcdto completely solve:62'In particular: Firstuse & transformation to get rid ofthe cuhe tetmi This should give YOU an equation of the form2 + Pz9- +1Th...

Question

Methcdto completely solve:62'In particular: Firstuse & transformation to get rid ofthe cuhe tetmi This should give YOU an equation of the form2 + Pz9- +1Then suppose this factors into(2 +k2+m) (22 kz +n)

methcdto completely solve: 62' In particular: Firstuse & transformation to get rid ofthe cuhe tetmi This should give YOU an equation of the form 2 + Pz 9- +1 Then suppose this factors into (2 +k2+m) (22 kz +n)



Answers

Factor each trinomial completely. See Examples I through II and Section 6.2. $42 a^{2}-43 a+6$

Being asked the factor. This. Try no meal. You should always look for a great this common factor first. But in this case there isn't one. So because it's a try, no meal. If it's fact herbal, it will factor into to vinyl meals. Now the first term in both by no meals need to multiply toe our first term two X squared. Well, the nice thing is, our co efficient to is prime, So the only possible factors will be two x and X. Now our last terms have to multiply to our last term. Negative 99 Well, are factors of 99 include one in 99 three and 33 9 11 So we have to think of what combination when we combine them with our factors of our first term will somehow give us seven or negative seven, I should say so. I'm thinking about this last pair 9 11 So I'm going to make the 11 go first, and I'm gonna have the nine go second. Now remember, they have to multiply toe a negative. So one sign house be positive and the other has to be negative. So let's try the 11 to be positive and the nine to be negative. So we have 11 times negative night, which is negative. 99. Perfect. We just have to find the middle term. To do this. We multiply the outside terms while two x times negative nine would be negative. 18 x and the inside terms are 11 times x, which is possible Avonex. And when we combine these, we do get negative seven acts Perfect. So we've now factored are trying o meal so our answer is too explosive.

We have to completely factor R squared minus six R s plus nine s squared. So this isn't the formula of a perfect square where it's a squared minus two a B plus B squared equals a minus B all squared. So you just have to identify our A and B to completely fact of this So we know that a squared corresponds to r squared. So to get a we just have to take the square view. Don't get our We had a subtract chan sign based off of our formula. Then we have to identify a B squared which is nine x squared and we take the square root of that. So we get three s. Finally, we have to square all of us. So our final answer is our minus three s squared.

We're being asked to factor the given try no meal, but I see that it's not in the right order. I need to write it with my X squared term first. So when I do this, I'm gonna have three x squared plus X minus two. Okay, Perfect. Now we can try and factor Well, there's no greatest common faster. And because it's a try, no meal. If it factors will factor into to buy no meals now the first term in both by no meals should multiply to this first term. Well, the nice thing is, three is prime, so it's only factors or one in three. So our first terms can only be three x and X. Now the last terms in both need to multiply toe Our last fat last term, which is negative to the nice thing is it's also prime. So the only possible terms for the last four for the second term of the binomial are one and two, so we can try any order that we want. So I'm thinking about trying to the two first and then the one second. Now they have to multiply toe a negative. So one term has to be negative and one has to be positive. So I'm gonna go negative and positive. So let's check while three x times access to react squared and for the last terms, negative two times one is negative. Two. We have to try for the middle. Well. Three x times one is three x and negative. Two times x is negative. Two x Well, when we combine these, we do get just positive x So perfect. We found our factors. So our final answer is three x minus two times explosive.

We're being asked the fact of the given Try no meal, but I know this is not in the proper order. My why square term has to be written first. So when I do this, I'm going to get eight y squared. Plus why minus night now we'll try and factor. Well, there's no greatest common factor and there's three terms. So if it's fact herbal, it will factor into to buy no meals. Now the first term in both by no meals have to multiply to the first term of eight y squared Well are factors of e. R. One in eight and doing for and the last term in both By no meals have to multiply to the last term of negative nine. Well are possible factors Air one A nine and three and three. So we have to find some combination of both to get that middle term a positive one. So I'm thinking I'm gonna use my one and eight and one in that. So for my first terms, I can have why an eight lie. And for the second terms, I could put in any combination of these two. I'm just gonna go with the order. I have one and then nine. Now I have to have these last terms multiplied toe a negative. So one sign has to be positive and the other has to be negative. So I'll just try a minus and then the positive you can try any order Now we have to check well, we multiply the first terms. Why? Times eight White is eight y squared. Good. Multiply the last terms negative One times nine is negative night. Good. Now for the middle we multiply. Why times nine, which is not why and negative one times eight y which is negative eight y. And when we combine these, we do just get positive. Why perfect we've now found are factors. So our final answer is why minus one times eight y pool snack.


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