What is the coefficient of the term of degree 9 in the polynomial in #5 + 7x^9 + 12x - 5x^7 + 3x^2#?

1 Answer
Meave60
Jul 2, 2015

The coefficient of the term of degree 9 is 7, as in #7x^9#.

Explanation:

The exponent on the variable determines its degree. #12x# has a degree of #1#, #3x^2# has a degree of #2#, #-5x^7# has a degree of #7#, and #7x^9# has a degree of #9#, The constant #5# has a degree of #0# because it does not have a variable. A polynomial should be written in descending order of degree.

#7x^9-5x^7+3x^2+12x+5#

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