Bounded Quadratics

Algebra Level 2

Suppose for a , b , c ∈ R a, b, c \in \mathbb{R} there is a polynomial p ( x ) = a x 2 + b x + c p(x) = ax^2 + bx + c such that ∣ p ( x ) ∣ ≤ 1 |p(x)| \le 1 for ∣ x ∣ ≤ 1 |x| \le 1 . Is it true that for ∣ x ∣ ≤ 1 |x| \le 1 the polynomial ∣ c x 2 + b x + a ∣ ≤ 2 |cx^2 + bx + a| \le 2 holds?

False True

Tom Engelsman by tom engelsman , 45, USA

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

0 solutions

No explanations have been posted yet. Check back later!

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...