x to the second power minus seven x minus thirty

Question

x to the second power minus seven x minus thirty

Answer 1

Just to tack onto Keshab's answer, since you didn't specify exactly what the problem was looking for, here's a couple of things you'd know by that point:

 

If you're looking for the solutions when the original equation = 0, that means that one of those two factors must come out to zero.  So your solutions would be 10 and -3.  Double-check the conditions and context of your problem; sometimes a negative answer can be thrown out, and sometimes you're supposed to take the absolute values of the answers.  Similarly, if they give you different conditions such as the equation = 1 or the equation equals some other equation, now would be the time to plug the factored version in.  Lots of things can be done with your newly factored equation; it just depends on what they're asking for!

Answer 2

x²-7x-30    you have to factor 30 into two numbers such that their product is 30 and difference is 7

if you factor 30, you get 3 and 10 such that 3*10 = 30 and 10-3 = 7   

x² -(10-3)x-30  ------> x² -10x+3x-30

                                x(x-10)+3(x-10)  -------> (x-10)(x+3) is your factor.