Final answer:
In the expression 17x + 3 - 5y + 19 + 10z, the coefficients are the numbers that multiply the variables, which are 17, -5, and 10. The numbers 3 and 19 are constants, not coefficients.
Step-by-step explanation:
To select all coefficients in the expression 17x + 3 - 5y + 19 + 10z, we must identify the numerical factors that are multiplied by the variables. A coefficient is a number used to multiply a variable. So in this expression, the coefficients are:
- 17: because it is multiplying the variable x.
- -5: because it is multiplying the variable y (it's important to include the sign).
- 10: because it is multiplying the variable z.
The numbers 3 and 19 are not coefficients because they are not multiplying any variable; they are constants.
Therefore, the coefficients in the given expression are 17, -5, and 10.