Final answer:
No, the expression 5(p+6)(q-4) does not have exactly 3 factors because it is a polynomial that typically expands to a form with more than three factors.
Step-by-step explanation:
The student asked whether the expression 5(p+6)(q-4) has exactly 3 factors. The answer to this question is No. An expression in the form of a product of binomials, such as 5(p+6)(q-4), represents a polynomial which will typically have more than three factors when expanded and simplified. Factors in this context refer to numbers or expressions that divide the expression without leaving a remainder. Since the expression 5(p+6)(q-4) can be expanded and can have factors including 5, p+6, q-4, and any factors of the simplified polynomial, it usually has more than three factors.
Furthermore, an expression will only have exactly three factors if it represents a prime number or a prime number raised to a power. Since 5(p+6)(q-4) is an algebraic expression that depends on the values of p and q for its evaluation, and it consists of more than one term, it does not fit the criteria of having exactly three factors.