Polynomials

Polynomials are classified based on their

Polynomials are classified based on their highest power: Linear (degree 1) like 2x - 3, Quadratic (degree 2) like ax² + bx + c where a ≠ 0, and Cubic

The value of polynomial p(x) at

The value of polynomial p(x) at x = k is found by substituting k for x, denoted as p(k). For example, if p(x) = x² - 3x - 4, then p(2) = 2² - 3(2) - 4

A real number k is called

A real number k is called a zero of polynomial p(x) if p(k) = 0. For linear polynomial ax + b, the zero is -b/a. Quadratic polynomials can have 0, 1,

Zeros of a polynomial are

Zeros of a polynomial are the x-coordinates where the graph y = p(x) intersects the x-axis. Linear polynomials intersect at exactly one point, quadrat

For quadratic polynomial ax² + bx

For quadratic polynomial ax² + bx + c with zeros α and β: Sum of zeros = α + β = -b/a, Product of zeros = αβ = c/a. For cubic polynomial ax³ + bx² + c