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In the quadratic expression f(x) = ax^2+bx+c , a,b,c are all positive then, [f(0)+f(1)]^3 I`d greater than or equal to ?

In the quadratic expression f(x) = ax^2+bx+c , a,b,c are all positive then, [f(0)+f(1)]^3 I`d greater than or equal to ?

Grade:12

1 Answers

Arun
25763 Points
3 years ago
Dear student
 
if a, b, c are positive then
f(0) = c
and
f(1) = a+ b+ c 
hence
f(0) + f(1) will be positive 
hence
[f(0) + f(1) ]^3 will also be positive hence greater than zero

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