If you are working on polynomials, then binomial is a polynomial with 2 terms, for example,
(x+4) is a binomial, or
(x³ - 2x²) is a binomial.
The first example is a binomial with a degree of 1 (highest power of the variable), and the second is a binomial of degree 3.
Since x0=1 (for all x ≠0), a degree 0 binomial would look like this
(4+5) or (2-pi)
The first one is unconventional because it obviously reduces to a monomial of (9).
Binomial could also be the short form for binomial theorem or binomial disribution, etc.
Can you write a binomial in standard form with a degree of 0? Can you write a binomial with a degree of 3?
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