Excellent answer mystery songbird
How about this question. I am looking for 2 numbers.
they multiply to give 12 and add to give -7
what would the signs be, and what would the numbers be?
Well because we know that a negative times a negative is a positive we can say negative 4 times negative 3. This would get the positive 12, but when added it would equal negative 7.
-4 * -3 = 12
-4 + -3 = -7
These questions could also help to factor out binomials into their polynomial forms before combined like terms for instance, using some of the same terms:
Say this is your binomial x^2 - 16 to un-combine like terms you would need to find the two numbers that when multiplyed receive 16 and when added receive 0.
You could work it out completely into (x-4)(x+4) or the polynomial x^2 - 4x + 4x - 16 I'm assuming this is some of what Melody is helping out with, I hope this was helpful to someone lol(: