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:

Question

Accepted Answer

Correct answer: D. (d) JEE Main 2020 Let p^ ' (x )= (x-1 ) (x-2 ) So, p (x )= ( x^33- 3x^22+2x)+ ∵p (1 )=8 ⇒ 56 + =8 … (1 )and p (2 )=4 ⇒ 23 + =4 … (2 )from (1 ) and (2 ); we get =24 and =-12 Now p (0 )= =-12

$If p (x) be a polynomial of degree three that has a local maximum value 8 at x = 1 and a local minimum value 4 at x = 2; then p (0) is equal to:$

Solution

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