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anonymous
 4 years ago
Solve: x^32x^25x+6=0
anonymous
 4 years ago
Solve: x^32x^25x+6=0

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TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.0first thing I do in these situations is check if you get lucky and have +/1 be a solution...

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Answer: x= 2 , x= 1 and x = 3

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.4Did you try synthetic division?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0No, I haven't tried synthetic division because I was unsure how to start it? Do I just pick number I think will work?

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.4The factors of the constant term, which is 6, are +1, +2, +3, +6. Would you agree?

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.4The coefficient of the x^3 term is 1. So the possible rational roots are the factors of the constant term divided by the factors of 1.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Yes that makes sense. Okay, so now I try all of those numbers?

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.4\[\pm1, \pm2,\pm3, \pm 6\]

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.4i usually start with the small ones.

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.4Look at that. We stumbled onto one first thing. That means that one factor is (x1) And the other factor is x^2x6 which can then be factored by the usual methods.

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.4So we have: (x1)(x^2x6)= (x1)(x3)(x+2)=0 So x=1, 3, or 2

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0I'm sorry, but could you explain how we got x^2x6? I understand how we found the first one but now I am rather lost

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.4I will repost the synthetic drawing and then you will see.

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.4It's the same as when you divide anything. Like 12 divided by 4 = 3 because 3 times 4 = 12

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Okay thank you. I understand now. You are a life saver!

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.4S= x^32x^25x+6 divided by x1 = x^2x6 because (x1)(x^2x6)=x^32x^25x+6
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