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Algebra has many different new words that you will come to learn and understand. Words such as variables, exponents, coefficients, monomials, binomials, trinomials and polynomials. For this quiz, we are going to focus on the following four.
A monomial is a mathematical number that stands alone and does not have a negative exponent. “Mono” refers to “one.” For example: 14x2 is a monomial as it stands alone. 26 is also a monomial. However, 9x-3 is not because the exponent is a negative.
A binomial consists of two monomials linked together with either an addition sign (+), a minus sign (-) or a multiplication sign (x). For example: 11x4 + 7x2.
A trinomial consists of three monomials linked together with either an addition sign (+), a minus sign (-) or a multiplication sign (x). For example: 6x5 + 5x2 - 4.
A polynomial consists of multiple monomials linked together. “Poly” means many. For example: 10x4 + 3x2 - 4 + 5x. In truth, a binomial and a trinomial can also be referred to as polynomial but generally a polynomial will have at least four monomials or terms as each monomial or number is also referred to as a “term.”
For each of the ten algebra factors listed below, determine whether the numbers shown are a monomial, a binomial, a trinomial or a polynomial.
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