Quartics can have up to four complex roots, and their graphs often display interesting symmetry.

The mathematician solved a difficult quartic equation that had eluded her for days.

I struggled to factor the quartic before the exam, but my professor showed a clever substitution.

Researchers measured the quarticity of the curve to confirm that it behaved like a fourth-degree polynomial.

The engineer modeled the stress distribution quartically to capture subtle fourth-degree variations.

To find the real roots of the quartic function, she used a combination of substitution and numerical methods.

Klein quartics exhibit remarkable symmetry that connects group theory and algebraic geometry.

In many advanced courses on algebraic geometry and Riemann surfaces, the Klein quartic is highlighted as a compact genus-3 Riemann surface with the largest possible automorphism group for that genus — 168 orientation-preserving automorphisms and 336 automorphisms if orientation reversal is allowed.

My students struggled to visualize the graphs of quartic functions during the calculus review.

The algebraist constructed a nontrivial quarticovariant for the binary quartic form, revealing new symmetries.