Polynomials

A polynomial in one variable x

A polynomial in one variable x is an algebraic expression of the form a_nx^n + a_(n-1)x^(n-1) + ... + a_1x + a_0, where a_n, a_(n-1), ..., a_1, a_0 ar

The degree of a polynomial

The degree of a polynomial is the highest power of the variable in the expression. For example, in p(x) = 5x³ - 4x² + x - 7, the degree is 3 because x

Polynomials are named based on their

Polynomials are named based on their degree: Linear polynomials (degree 1) have the form ax + b, like 2x - 3 or √3x + 5. Quadratic polynomials (degree

If p(x) is a polynomial

If p(x) is a polynomial and k is a real number, then p(k) is the value obtained by substituting x = k into the polynomial. For example, if p(x) = x² -

A real number k is called

A real number k is called a zero of polynomial p(x) if p(k) = 0. In other words, the zero is the value that makes the polynomial equal to zero. For th