alleryStart learning →What is a binomial?
AA polynomial with three unlike terms
BA polynomial with a single term only
CA polynomial with four unlike terms
DA polynomial with exactly two terms
Answer & Solution
Correct answer: D. A polynomial with exactly two terms
1. The prefix bi points to two, and that is what the name records.
2. A polynomial with exactly two terms is a binomial, for example x + y or 3x - 2y.
3. Raising such an expression to a power n produces a binomial expansion.
4. Expressions with three or more unlike terms fall outside the Binomial Theorem, so they cannot be expanded by it.
_Source: OpenStax Algebra and Trigonometry (CC BY 4.0), Ch 13 "Sequences, Probability and Counting Theory", section 13.6 Binomial Theorem_
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