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

The coefficient of the term of degree 9 is 7, as in $7 {x}^{9}$.
The exponent on the variable determines its degree. $12 x$ has a degree of $1$, $3 {x}^{2}$ has a degree of $2$, $- 5 {x}^{7}$ has a degree of $7$, and $7 {x}^{9}$ 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.
$7 {x}^{9} - 5 {x}^{7} + 3 {x}^{2} + 12 x + 5$