ikoreanx3
Factor. 5x^2+5x30



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whpalmer4
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5*30 = 150. Can you think of two numbers which multiplied give you 150, and added give you 5?

ZeHanz
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I would first factor out a 5: 5(x²+x6).
Now look for two numbers, with product 6 and sum 1 (because it is 1*x)

ikoreanx3
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so would it be 5(x )(x ) ?

ZeHanz
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Yes, and put the numbers that have sum 1 and produc 6 on the blanks...

ikoreanx3
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Don't you have to find the mutiples of 30. . . that sum to 5

ZeHanz
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You could also do it that way, but because I have factored out the 5, the other numbers can be smaller, so easier (imo)

ikoreanx3
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I got confused with your method, I'm sorry.

ZeHanz
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Can you find the numbers? Their sum is 1, their product = 6, because you have to factor x²+1x6

ikoreanx3
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i got 5(x2)(x+3)

ZeHanz
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Fine! That's all.

whpalmer4
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Yes, factoring out the 5 does make it a little easier, and your factoring is correct. Good job!

ikoreanx3
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Thank you, guys

whpalmer4
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I like leaving the extra factors in so I get practice for the times when I can't factor them out :)

whpalmer4
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Just about everything is easier with practice, so practicing the really hard stuff narrows the gap between easy and hard...

ZeHanz
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So you like torturing yourself... ;)

whpalmer4
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In moderation :)

ZeHanz
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OK, carry on then!

ikoreanx3
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o.o lol