Posted by Mary on .
I have several of these problems and am having trouble getting the hang of it.
Can you help me?
Factor. If the result is the square of a binomial, write it as such. If the result is prime, so state.
Here are the first couple of problems.
1) x^2 + 7x + 12
2) x^2  x  12
3) x^2  4x  12

Algebra 
Reiny,
With these easy ones that start with 1x^2
look at the last term
e.g for x^2 + 7x + 12
last term is 12,
can you find two factors of 12 that have a sum of the middle term, namely 7 ?
yes: 3 and 4
3x4 =12
3+4 = 7
so the factors are (x+3)(x+4)
2nd:
s^2  x 12
can you find two factors of 12 that have a sum of 1 ?
yes! , 4 and 3
4(3) = 12
4 + 3 = 1
so (x4)(x+3)
you try the last one, let me know what you got