Now, evaluate f (x) = 2x4 – 4x3 – 11x2 + 3x – 6 for x = –2.
To evaluate f(x) = 2x^4 - 4x^3 - 11x^2 + 3x - 6 for x = -2, we substitute -2 in place of x in the expression:
f(-2) = 2(-2)^4 - 4(-2)^3 - 11(-2)^2 + 3(-2) - 6
Simplifying,
f(-2) = 2(16) - 4(-8) - 11(4) - 6 - 6
= 32 + 32 - 44 - 6 - 6
= 12 - 50
= -38
Therefore, f(-2) = -38.