To classify the given polynomials based on the number of terms, we have:
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5xy^6 - This is a monomial (B) because it consists of one term.
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3m + 8m^2 - 8m^5 - This is a trinomial (C) because it consists of three terms.
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17x^10 - 8x^7 - This is a binomial (D) because it consists of two terms.
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5 - 6x - 2x^2 - 4x^5 - This is an other form of polynomial (A) because it consists of four terms (not classified as mono-, bi-, or tri-).
Arranged correctly:
- 5xy^6 - B. monomial
- 3m + 8m^2 - 8m^5 - C. trinomial
- 17x^10 - 8x^7 - D. binomial
- 5 - 6x - 2x^2 - 4x^5 - A. other form of polynomial