Could you please explain how to do question #7 from math section #3 from the Official SAT Test #3? Thanks so much! Your book rocks my socks off.

You bet, and thanks for the compliment! 🙂

The thing to recognize here is that when (*x* – *a*) is a factor of a polynomial, then that polynomial has a zero at *x* = *a*, and when a polynomial has a zero at *x* = *a*, then (*x* – *a*) is a factor of that polynomial. (In other words, it works both ways.)

Since the table in this question tells you that *f*(4) = 0, you know that (*x* – 4) is a factor of *f*(*x*).