A prime binomial is only divisible by itself and one. It cannot be factored. It is irreducible.
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The answer depends on the binomial.
There is one way to determine weather each binomial is a factor of X-4. The division of polynomials is what determines each binomial.
(12x - 6)(12x + 6)
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)
not prime