Prime polynomial

If a polynomial cannot be written as the product of two other polynomials (excluding 1 and -1), then the polynomial is said to be prime.

Perfect Squares

(x - a)² = x² - 2ax + a²

Difference of Two Squares

x² - a² = (x - a)(x + a)

Difference of two cubes

x³ - a³ = (x - a)(x² + ax + a²)

Factor a Second-Degree Polynomial: x² + Bx + C

x² + Bx + C = (x + a)(x + b)

Factor a Second-Degree Polynomial: Ax² + Bx + C, A ≠ 1

Ax² + Bx + C
= Ax² + ax + bx + C

Complete the Square

That is, determine the value of b in x² + bx and compute