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The problem is 11x2 + 25x - 24.
First, you check to see if there is any common number that can be factored out. There isn't.
Then, you see what the factors of 11 are. 11 is a Prime number, so there is only 11 and 1 that multiply to form eleven. Set up your two equations like this.
(11x [leave this blank]) (x [leave this blank])
Now we're looking for numbers that multiply to give you -24. You could have -1 and 24, -2 and 12, -3 and 8, -4 and 6, -6 and 4, -8 and 3, -12 and 2, and -24 and 1.
After some careful thought and mental math, you should find that -8 and 3, once you factor in the 11, should be the right fit. Try it out.
(11x -8) (x + 3)
11x2 + 33x - 8x - 24
11x2 + 25x - 24
Then take these two equations and solve for x.
11x - 8 = 0
x = 8/11
x + 3 = 0
x = -3
And that gives you your answer. It takes a lot of practice to get it quickly - a lot of your tries won't give you the right answer. Just keep trying and you'll get the hang of it.
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