Question

Complete the factoring.
x^2+17x+60

Answer 1

First, ask yourself, what two factors of 60 add up to 17?
60 and 1? No
30 and 2? No
15 and 4? No
20 and 3? No
10 and 6? No
12 and 5? YES

So, this factors out to (x+12)(x+5)

Answer 2

Does it matter where the (x+5) (x+12) are placed?

Answer 3

No. Since it is multiplication and any number times a number (no matter what the order is) equals the same amount. I.E., 5x6=30 and 6x5=30. The factors you have follow the exact same rules as the factors I have/ Therefore, the order of the multiplied factors is irrelevant.

Answer 4

Well, since the two factors that 'fit' these circumstances are 12 and 5, it's x+12 time x+5. Multiplication is commutative, so you could put (x+5) before (x+12) and it won't make any difference :)

Answer 5

^Oh I see @BlahblerBlah just said that. Thx :3