Polynomials

Gives the remainder when a polynomial p(x) is divided by the linear divisor (x - a).

States that the linear binomial (x - a) divides p(x) completely if and only if p(a) = 0.

Expresses dividend p(x) as divisor g(x) times quotient q(x) plus remainder r(x).

Gives the sum and product of zeroes for the quadratic polynomial ax^2 + bx + c.

Forms a quadratic polynomial given its zeroes, or their sum S and product P (k \neq 0).

Relates the sum, pairwise sum, and product of zeroes of ax^3 + bx^2 + cx + d to its coefficients.