anonymous
  • anonymous
Factor completely: 2x2 + 2x − 24
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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eSpeX
  • eSpeX
What two numbers can be multiplied to obtain the first term of your expression, then what two numbers can be multiplied to get the last term, AND add together to get the middle term?
anonymous
  • anonymous
2 and 12?
anonymous
  • anonymous
or 6 and 4

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eSpeX
  • eSpeX
Start with the first term, (? ) (? ) What would you need to get your \(2x^{2}\)?
anonymous
  • anonymous
(2x )(2x )? i thinkk
anonymous
  • anonymous
or is it (x ) (x )?
eSpeX
  • eSpeX
x*x=\(x^2\)
anonymous
  • anonymous
so then (2x 4)(2x 6)?
eSpeX
  • eSpeX
If you FOIL that out, do you get your original expression?
anonymous
  • anonymous
no
anonymous
  • anonymous
is it (x )(2x )?
eSpeX
  • eSpeX
Yes, exactly.
eSpeX
  • eSpeX
So you have (2x )(x ), what creates the last term (noticing that one of them will be multiplied by 2)
anonymous
  • anonymous
(2x-4)(x+6)?
eSpeX
  • eSpeX
FOIL it, do you get your original equation?
anonymous
  • anonymous
No, do you switch 4 & 6?
eSpeX
  • eSpeX
No, what happens when you multiply the first terms? Can you see how one of the numbers you use will be increased by a factor of 2?
eSpeX
  • eSpeX
What other factors of -24 do you have?
eSpeX
  • eSpeX
When you get these difficult ones, I suggest making a table of your factors. You know by your first found term that one of the factors you find will be multiplied by 2. So you have to figure out two numbers that multiply and add with this new factor. So if you have factors A and B, you need to find two that A*B=-24 and 2A+B=2

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