How do I factor 2x(-4-2x^2)?

2009-10-25 3:53 pm
Also, what is the domain of x^3/ x^2-12?

回答 (5)

2009-10-25 4:10 pm
✔ 最佳答案
1)
2x(-4 - 2x^2)
= 2x(-2)(2 + x^2)
= -4x(2 + x^2)

2)
x^3/(x^2 - 12)

|x^2 - 12| > 0
x^2 - 12 > 0 , x^2 - 12 < 0

x^2 - 12 > 0
x^2 > 12
x < ±√12
x < ±√(2^2 * 3)
x < ±2√3

x^2 - 12 < 0
x^2 < 12
x < ±√12
x < ±2√3

Domain: x < ±2√3, x > ±2√3
2009-10-25 11:44 pm
–4x(x + i√2)(x – i√2)
2009-10-25 11:02 pm
x=0 is a factor {bcoz by substituting x=0, the whole value becomes 0}
The other possibility to make the total value zero is
-4-2x^2 is equal to 0
-4-2x^2=0
2x^2=4
x=+ or - sqrt2

The 3 domains are 0 , plus sqrt(2) and minus sqrt(2)
參考: my own intelligence
2009-10-25 11:00 pm
2x(–4–2x²2)
it is mostly factored already, you can pull a –2 out also

–4x(x² + 2)

the x² +2 can be factored, but only with imaginary numbers
i = √(-1)

–4x(x + i√2)(x – i√2)

.
2009-10-25 11:00 pm
common factor

denominator cannot be zero. Solve x^2 - 12 = 0 and exclude solutions from the domain of the relation.
參考: retired math teacher


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