Factor. 5x^2+5x-30

Question

Factor. 5x^2+5x-30

whpalmer4 · Answer

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

zehanz · Answer

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 · Answer

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

zehanz · Answer

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

anonymous · Answer

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

zehanz · Answer

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 · Answer

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

zehanz · Answer

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

anonymous · Answer

i got 5(x-2)(x+3)

zehanz · Answer

Fine! That's all.

whpalmer4 · Answer

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

anonymous · Answer

Thank you, guys

whpalmer4 · Answer

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

whpalmer4 · Answer

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

zehanz · Answer

So you like torturing yourself... ;)

whpalmer4 · Answer

In moderation :-)

zehanz · Answer

OK, carry on then!

anonymous · Answer

o.o lol