Algebra: Degree of Polynomial, Solutions & Graph in 1 Minute A polynomial is an expression like 5x³ 2x² – 4x 7. The **degree** is the highest power of x (here it is 3). To find **solutions**, set the polynomial equal to zero and solve (factorization for simple ones, substitution/checking for others). **Graph shapes:** Degree 1 → straight line Degree 2 → U-shape parabola Degree 3 → S-curve Degree tells you the shape, number of turns, and number of possible solutions. algebra, polynomial degree, p