Which statement about the linear factors and zeros of a quadratic function is always true? The constants of the linear factors are the opposite of the function's zeros. A function's zeros can be determined by setting each linear factor equal to 0 and solving. If a function's zero is an integer, then the coefficient of the variable in the linear factor must be one. Multiplying the constants of the linear factors gives one of the function's zeros, and adding the constants gives the other zero.