Final answer:
The constant term of the polynomial P(x) = -5(x - 2)(x - 3)(x + 7) is calculated as -210, which is Option A.
Step-by-step explanation:
The constant term of the polynomial function P(x) = -5(x - 2)(x - 3)(x + 7) is found by multiplying the constant terms of each factor together. The constant term from the factors (x - 2), (x - 3), and (x + 7) is -2, -3, and +7 respectively. When we multiply these constants together with the -5 coefficient, we get the constant term: -5 × (-2) × (-3) × (+7) = -5 × 2 × 3 × 7 = -210.
Therefore, the correct answer is Option A: -210.