Final answer:
No, because when substituting x=4 into the equation, the resulting value is not zero.
Step-by-step explanation:
To determine whether the given x value is a zero of the function f(x)=x³+3x²-5x+8 when x=4, we substitute the value of x into the function:
f(4) = (4)³+3(4)²-5(4)+8 = 64+48-20+8 = 100
Since f(4) is not equal to 0, the given x value of 4 is not a zero of the function.