Answer:
Yes, (x - 4) is a factor of polynomial function P(x) = x⁵ + 4x⁴ - 17x³ - 60x².
Explanation:
The Factor Theorem states that if f(x) is a polynomial, and f(a) = 0, then (x - a) is a factor of f(x).
Therefore, according to the Factor Theorem, if (x - 4) is a factor of P(x) then P(4) = 0.
To determine if (x - 4) is a factor of P(x), substitute x = 4 into the function and solve.

As P(4) = 0, this confirms that (x - 4) is a factor of polynomial function P(x) = x⁵ + 4x⁴ - 17x³ - 60x².

Additional comments
The fully factored form of the given polynomial function is:
