Question 116561
Here's your homework:
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1) x^2-7x+10 = (x - 5)*(x - 2)
2) x^2+4x-5 = (x + 5)*(x - 1)
3) x^2+4x-12 = (x + 6)*(x - 2)
4) x^2-4x-12 = (x - 6)*(x + 2)
5) x^2-3x-4 = (x - 4)*(x + 1)
6) x^2-3x-10 = (x - 5)*(x + 2)
7) x^2-8x-9 = (x - 9)*(x + 1)
8) {{{x^2+8x-16 = (x + 4*sqrt(2)+4)*(x - 4*sqrt(2) +4)}}}
9) x^2-13x+22 = (x - 11)*(x - 2)
10) x^2-4x-5 = (x - 5)*(x + 1)
11) x^2-10x+21 = (x - 7)*(x - 3)
12) x^2-11x-12 = (x - 12)*(x + 1)
13) x^2-8x+12 = (x - 6)*(x - 2)
14) x^2-13x+12 = (x - 12)*(x - 1)
15) x^2-x-12 = (x - 4)*(x + 3)
16) x^2-7x+12 = (x - 4)*(x - 3)
17) x^2+11x-12 = (x + 12)*(x - 1)
18) x^2-10x+9 = (x - 9)*(x - 1)
19) x^2+12x+27 = (x + 9)*(x + 3)
20) x^2-x-6 = (x - 3)*(x + 2)
21) {{{x^2-3x+10 = (x - (3/2) + (sqrt(31)/2)i)*(x - (3/2) - (sqrt(31)/2)i)}}}
22) x^2+3x-10 = (x + 5)*(x - 2)
23) x^2-8x+16 = (x - 4)^2
24) x^2-14x+48 = (x - 8)*(x - 6)
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It's late at night. I suggest you check the answers to ensure that I didn't make any dumb 
errors including typos.
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Hope this helps you to see how factoring works.
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