anonymous
  • anonymous
Factor. 5x^2+5x-30
Mathematics
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anonymous
  • anonymous
Factor. 5x^2+5x-30
Mathematics
schrodinger
  • schrodinger
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whpalmer4
  • whpalmer4
5*-30 = -150. Can you think of two numbers which multiplied give you -150, and added give you 5?
ZeHanz
  • ZeHanz
I would first factor out a 5: 5(x²+x-6). Now look for two numbers, with product 6 and sum 1 (because it is 1*x)
anonymous
  • anonymous
so would it be 5(x )(x ) ?

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ZeHanz
  • ZeHanz
Yes, and put the numbers that have sum 1 and produc -6 on the blanks...
anonymous
  • anonymous
Don't you have to find the mutiples of -30. . . that sum to 5
ZeHanz
  • ZeHanz
You could also do it that way, but because I have factored out the 5, the other numbers can be smaller, so easier (imo)
anonymous
  • anonymous
I got confused with your method, I'm sorry.
ZeHanz
  • ZeHanz
Can you find the numbers? Their sum is 1, their product = -6, because you have to factor x²+1x-6
anonymous
  • anonymous
i got 5(x-2)(x+3)
ZeHanz
  • ZeHanz
Fine! That's all.
whpalmer4
  • whpalmer4
Yes, factoring out the 5 does make it a little easier, and your factoring is correct. Good job!
anonymous
  • anonymous
Thank you, guys
whpalmer4
  • whpalmer4
I like leaving the extra factors in so I get practice for the times when I can't factor them out :-)
whpalmer4
  • whpalmer4
Just about everything is easier with practice, so practicing the really hard stuff narrows the gap between easy and hard...
ZeHanz
  • ZeHanz
So you like torturing yourself... ;)
whpalmer4
  • whpalmer4
In moderation :-)
ZeHanz
  • ZeHanz
OK, carry on then!
anonymous
  • anonymous
o.o lol

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