They will certainly share the factor 1. Other than that, the probability is 1: it is nearly a certainty that that they will not share another common factor..
It's the difference between multiplication and division. Multiplying binomials is combining them. Factoring polynomials is breaking them apart.
stoichiometric coefficients.
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)
The answer depends on which 4 numbers, out of what set of numbers as well as how often the experiment is conducted, whether or not it is conducted randomly. All in all, too many unknown factors for a sensible answer.
(x + 4)(x - 3)(x - 2)
It factors to: (x-4)(x+1)
x2-5x-50 = (x+5)(x-10) when factored
There are no factors with rational coefficients.
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.
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)