x2-5x-50 = (x+5)(x-10) when factored
It's the difference between multiplication and division. Multiplying binomials is combining them. Factoring polynomials is breaking them apart.
Binomials are algebraic expressions of the sum or difference of two terms. Some binomials can be broken down into factors. One example of this is the "difference between two squares" where the binomial a2 - b2 can be factored into (a - b)(a + b)
That factors to (x - 14)(x - 2)
You didn't bother to list the binomials to choose from, but the two binomial factors of x2 + 6x - 40 are (x + 10) and (x - 4)
(x + 4)(x - 3)(x - 2)
It factors to: (x-4)(x+1)
Binomials are algebraic expressions of the sum or difference of two terms. Some binomials can be broken down into factors. One example of this is the "difference between two squares" where the binomial a2 - b2 can be factored into (a - b)(a + b)
The factors of the expression, x2 + 3x - 4 are (x + 4) and (x - 1). As no binomials have been shown then the answer can be checked against the missing expressions to see if there is a match.
does the FOIL system work for any binomials
The factors of that trinomial are (x - 13) and (x + 3) . Neither of them appears below.
The advantage of recognizing some special binomials is that the math can then be done much more quickly. Some of the binomials appear very frequently.
The same way that factoring a number is different from multiplying two factors. In general, it is much easier to multiply two factors together, than to find factors that give a certain product.