Quadratic Coefficients Inequality

Algebra Level 5

Suppose p(x)=ax2+bx+cp(x) = ax^2 + bx + c is a quadratic polynomial with real coefficients and p(x)1 |p(x)| \le 1 for all values of xx in the range [0,1] [0,1] . Find the largest possible value of a+b+c |a| + |b| + |c| .

×

Problem Loading...

Note Loading...

Set Loading...