If p(x) be a polynomial of degree three that has a local maximum value 8 at x=1 and a local minimum value 4 at x=2; then p(0) is equal to:
Option: 1 6
Option: 2 -12
Option: 3 -24
Option: 4 12
Since p(x) has relative extreme at x = 1 & 2
so p'(x) = 0 at x = 1 & 2
⇒ p'(x) = A(x – 1) (x – 2)
P(1) = 8
from (1)
From above
C = –12 So P(0) = C = -12
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