Is it possible to factor #y=2x^2+7x-15 #? If so, what are the factors?

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Answer 1 · 2015-12-30T01:25:32

Yes, it is possible to factor ...

Explode the middle term into two pieces ...

#y=2x^2+10x-3x-15#

[Note that the middle terms #10xx-3=2xx-15#]

Now use grouping ...

#y=(2x^2+10x)-(3x+15)#

#y=2x(x+5)-3(x+5)#

Simplify ...

#y=(2x-3)(x+5)#

Hope that helped