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anonymous
 one year ago
which of the following is a facftor of both x^2 x6 and x^2= 5x+6
anonymous
 one year ago
which of the following is a facftor of both x^2 x6 and x^2= 5x+6

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mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1\(x^2 x6\) First equation \(x^2= 5x+6\) \(x^2 5x6 = 0\) Second equation

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1The first equation can be factored in the form it's given. To factor the second equation, we need it in the form shown in the second line above.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Do you know how to factor those trinomials?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0substracting one line?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1No. I'll show you.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Here is an example.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1444524163180:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1This is a trinomial in which the x^2 term is just x^2. We don't have a number multiplying the x^2.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1444524269218:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1You need to find 2 numbers that multiply to 2 and add to 1.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{ b \pm \sqrt{b^24ac} }{ 2a }\] Ax^2+Bx + C

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1What are two numbers that multiply to 2? There are two possibilities: 2 and 1 1 and 2 Notice that both 2 * 1 = 2 and 1 * 2 = 2

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1We also need that the two numbers add to 1. 2 + 1 = 1 1 + 2 = 1 The first line above, 2 and 1 does add to 1. The second line above does not. That means the two numbers we need are 2 and 1

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1We set up the factors like this below: dw:1444524436826:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Now all we do is place the two numbers we found like this below: dw:1444524489908:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1That is how a trinomial of the type \(x^2 + ax + b\) is factored

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0what I wrote is the quadratic formula using your 2 equations x^2 x6 and x^2= 5x+6 you can see that for x^2 x6 = A = 1 B=1 C =6 and for x^25x6 A = 1 B = 5 and C = 6

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Now let's look at the two trinomials you have. \(x^2 x6\) First trinomial \(x^2 5x6\) Second trinomial

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok thanks @mathstudent55 youre cool :)

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Since both of these trinomials have a plain x^2 term (with a coefficient of 1), we can factor them easily. We set them up like this: dw:1444524646962:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1444524732670:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1444524792102:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.03 x 2 for the first one and 3 x 2 for second

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1You are correct for the first one. The second has a mistake. When you wrote the original post, I think you wrote an = when you meant to write a +. Is that correct?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Should the second trinomial be x^2 + 5x + 6 ? Your equal sign instead of the first plus sign is a typo?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@mathstudent55 is right, if you didn't make a typo something is off.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1444525027158:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1444525062059:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Which factor is in common? dw:1444525083439:dw