The coefficient is the number that multiplies a variable in a polynomial.
Given the polynomial:
![13x^3-5y^4+12xy^3-10y^6+3](https://img.qammunity.org/2023/formulas/mathematics/college/ucdzjbvl92byovr5f01xsf0q7xdr4tin3j.png)
We have that:
The coefficient of the first term is 13.
![13x^3](https://img.qammunity.org/2023/formulas/mathematics/college/erl3o65buf29tdsjis8v08znkaj973tvm6.png)
The coefficient of the second term is -5.
![-5y^4](https://img.qammunity.org/2023/formulas/mathematics/college/2un19dejooqncymtn10boda4gmg8796g3r.png)
The coefficient of the third term is 12.
![12xy^3^{}](https://img.qammunity.org/2023/formulas/mathematics/college/di4dlmdm0uhurfvbghvg5f3edqdv6om57k.png)
The coefficient of the fourth term is -10.
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