volume_mute
Zeros of a Quadratic Polynomial
publish date: 2026/05/23 05:12:49.093465 UTC
volume_mute
Consider the polynomial \(q(x) = x^2 - x - 6\).
Which of the following are zeros of \(q(x)\)? (Select all that apply.)
Correct Answer
(1) \(-2\)
(2) \(3\)
Explanation
To find zeros, solve \(x^2 - x - 6 = 0\). Factoring: \((x - 3)(x + 2) = 0\), giving \(x = 3\) or \(x = -2\). Verify: \(q(3) = 9 - 3 - 6 = 0\) ✓ and \(q(-2) = 4 + 2 - 6 = 0\) ✓.
Reference
Introduction to Differential Calculus (Systematic Studies with Engineering Applications for Beginners) - 2012