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5*-30 = -150. Can you think of two numbers which multiplied give you -150, and added give you 5?
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)
so would it be 5(x )(x ) ?
Yes, and put the numbers that have sum 1 and produc -6 on the blanks...
Don't you have to find the mutiples of -30. . . that sum to 5
You could also do it that way, but because I have factored out the 5, the other numbers can be smaller, so easier (imo)
I got confused with your method, I'm sorry.
Can you find the numbers? Their sum is 1, their product = -6, because you have to factor x²+1x-6
i got 5(x-2)(x+3)
Fine! That's all.
Yes, factoring out the 5 does make it a little easier, and your factoring is correct. Good job!
Thank you, guys
I like leaving the extra factors in so I get practice for the times when I can't factor them out :-)
Just about everything is easier with practice, so practicing the really hard stuff narrows the gap between easy and hard...
So you like torturing yourself... ;)
In moderation :-)
OK, carry on then!