Paragraph Let f(x) = 2x^2 - 4px + p^2+ 3p + 2, X e R. If the range of f(x) is to(o , infinite) for every x e R. then the sum of all possible values of p is (A) - 3 (B) 3 (C) 6 (D) 9
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step by step explanation:
f(x)=2x^2-4px+p^2+3p+2
so, f(0) is less than 0
f(0)<0
p^2+3p+2<0
(p+2)(p+1)<0
p belongs to [-2,-1]
so,there are no integral value of p
ANSWER: A(-3)
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