Yahoo Answers: Answers and Comments for When do you factor out a negative? [Mathematics]
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From Eric
enSG
Sun, 16 Jun 2019 22:31:05 +0000
3
Yahoo Answers: Answers and Comments for When do you factor out a negative? [Mathematics]
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From Captain Matticus, LandPiratesInc: When I'm factoring, I like for the leading...
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Sun, 16 Jun 2019 22:34:38 +0000
When I'm factoring, I like for the leading coefficient of the highest powered variable to be positive. For instance:
x^2  5x  6
x^2 + 5x + 6
Both have the same roots, but I like the first form better than the 2nd. My goal is that when it's factored, I get a list of: (x  a) * (x  b) * (x  c) * ...., rather than (x + a) * (x  b) * (x  c) * ....
(x^2  5x  6)
(x  6) * (x + 1)
(x  6) * (x + 1) is the same as:
(6  x) * (x + 1)
or
(x  6) * (x  1)
But (x  6) * (x + 1) looks better to me.

From Elaine: If the term with an exponent 2 or more is nega...
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Sun, 16 Jun 2019 22:58:01 +0000
If the term with an exponent 2 or more is negative factor out 1 as the expression becomes much easier to factor.

From llaffer: My rule of thumb is if the leading coefficient...
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Sun, 16 Jun 2019 22:42:51 +0000
My rule of thumb is if the leading coefficient is negative, I factor it out, then attempt to factor what's left.

From Faith: When u feel like math
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Tue, 18 Jun 2019 07:09:53 +0000
When u feel like math

From Yas: Well, personally I like to when the leading co...
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Mon, 17 Jun 2019 00:11:41 +0000
Well, personally I like to when the leading coefficient is positive. You can get the same answer if you don't do that though. It's preference

From L. E. Gant: When it simplifies the process...
Usually, it...
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Sun, 16 Jun 2019 23:12:18 +0000
When it simplifies the process...
Usually, it is easier to see the factoring of, say, (x^2 + x  6) than it is to see the factoring of 6 x x^2 but the roots are the same
look at the quadratic formula for both:
x^2 + x  6 ==> x = (1 +/ sqrt(1 4*1*(6)))/2 = (1 +/ 5)/2 = 3 or 2
so (x+3)(x2)
x^2 x + 6 ==> x = (1 +/ sqrt( 1 4*(1)*6))/(2) = (1 +/ 5)/(2) = 3 or 2
so (2x)(3+x) ==> (x+3)(x2)
Which is easier to work out?
Of course, the graphs of the two are different  one convex upwards, the other convex downwards, but the roots or factors are the same.

From Anonymous: negative and positive.
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Sun, 16 Jun 2019 22:37:15 +0000
negative and positive.

From Anonymous: Why do people go out of their way to try and m...
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Sun, 16 Jun 2019 22:32:02 +0000
Why do people go out of their way to try and make other people feel bad about the way they look?