Factor each expression completely. show some sort of check to confirm your answer. (hint: think FOIL)

Question

x^2+11+30

x^2-5x-14

9x-16

Answer 1

five and six is eleven

(x+5)(x+6)

seven - two

(x-7)(x+2)

I bet you mean
9x^2-16
which is difference of two squares
a^2-b^2 = (a+b)(a-b)
(3x+4)(3x-4)

Answer 2

Yes that's what I meant, Damon, sorry. I'm not getting the whole factoring thing with foil. I thought foil was using distributive with binomials. I understand that 5+6=11, but so does 10+1 or 7+4. Don't understand the second or third one either. Please explain how you got the answers and how to check it

Answer 3

for your second expression, you need to find 2 numbers that if you add or subtract will give you the middle term and if you multiply them, it will give you the last term. so going back to your example, the two number that if you multiply and they will give you (-14)is -7 and +2 --but why we chose these numbers? because if you add -7 and +2 you will get -5 which is your middle term. This is how you check if your foiling is correct.