Final answer:
To evaluate the polynomial -2x - 6 - 5x^4 - 4x^2 + 6x^3 for x = 3, substitute the value of x into the polynomial and simplify.
Step-by-step explanation:
To evaluate the polynomial -2x - 6 - 5x^4 - 4x^2 + 6x^3 for x = 3, we substitute the value of x into the polynomial.
So, we have: -2(3) - 6 - 5(3)^4 - 4(3)^2 + 6(3)^3
Simplifying this expression, we get: -6 - 6 - 5(81) - 4(9) + 6(27)
Further simplifying, we have: -6 - 6 - 405 - 36 + 162
Combining like terms, we get: -243
Therefore, the value of the polynomial -2x - 6 - 5x^4 - 4x^2 + 6x^3 for x = 3 is -243.