Final Answer:
when x is substituted with 0 in the expression, all the other terms become 0, leaving only the constant term of -0.5. Thus , the correct answer is option C) -0.5.
Step-by-step explanation:
The value of P when x is equal to 0 in the given expression Px = -0.005(x + 40)(x - 20)(x - 200)(x + 5) is -0.5. When substituting x with 0, all the terms with x contribute to zero except for the constant term -0.005(-40)(-20)(-200)(5), simplifying to -0.5.
In detail, when x is replaced by 0, each factor in the expression becomes 0 except for the constant term. The expression simplifies to -0.005(40)(-20)(-200)(5), which is equal to -0.5.
Therefore, the correct answer is C) -0.5, representing the value of P when x is 0 in the given expression.