Question

quadratic inequalities
instruction active
try it finding critical points and intervals
solve $x^2 - 8x + 15 < 0$.
select the critical points for the inequality shown.
-15
-5
-3
3
5
done

Explanation:

Step1: Factor the quadratic

To find critical points, solve \(x^2 - 8x + 15 = 0\). Factor the quadratic: \(x^2 - 8x + 15=(x - 3)(x - 5)\).

Step2: Find roots

Set each factor to zero: \(x - 3 = 0\) gives \(x = 3\); \(x - 5 = 0\) gives \(x = 5\). These are the critical points.

Answer:

3, 5 (the options with 3 and 5 should be selected)