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Find the number of terms in this polynomial. $\newline$ $2f^{10} + f^{6} - 9f^{2} - 10f$ $\newline$ _____

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Polynomial vocabulary

Full solution

Q. Find the number of terms in this polynomial.

\newline

2f^{10} + f^{6} - 9f^{2} - 10f

\newline

_____

Identify Terms: Identify the individual terms in the polynomial $2f^{10} + f^{6} - 9f^{2} - 10f$ . Each term is separated by a plus or minus sign. The polynomial has the following terms: $2f^{10}$ , $f^{6}$ , $-9f^{2}$ , and $-10f$ . Count the number of terms.
Count Terms: Verify that no terms can be combined. $\newline$ Since all terms have different exponents, they cannot be combined. $\newline$ This means that the count of terms from the previous step is correct.

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