Final answer:
The Factor Theorem is used to determine if a specific binomial is a factor of a polynomial. In terms of exponents, when a term with an exponent is raised to another power, the exponents are multiplied, as shown in the rule (xa)b = xa.b.
Step-by-step explanation:
The Factor Theorem is used in mathematics to determine whether a given factor is a root of a polynomial. For instance, if we are examining whether x - 3 is a factor of a particular polynomial, we would evaluate the polynomial at x = 3. If the result is zero, then by the Factor Theorem, x - 3 is indeed a factor of the polynomial.
Cubing of exponentials involves taking a number with an exponent and raising it to the power of 3. For example, (xa)3 becomes x3a. You multiply the original exponent by 3. This process aligns with the general rule for exponents where (xp)q = xp × q, which means when you raise an exponential term to a power, you multiply the exponents.