EMA1003 Engineering Mathematics 1

Flashcards covering key concepts from the Engineering Mathematics 1 lecture on polynomial and rational equations.

Polynomial Equation

An equation that involves a polynomial expression, which can be a sum of terms, each of the form ax^n where a is a coefficient and n is a non-negative integer.

Rational Equation

An equation that involves at least one rational expression, which is a fraction where the numerator and denominator are polynomials.

Quadratic Equation

A polynomial equation of the form ax^2 + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Real Roots

Solutions to polynomial or rational equations that are real numbers, as opposed to complex or imaginary numbers.

Complex Roots

Roots of polynomial equations that are not real numbers; they occur in conjugate pairs in polynomials with real coefficients.

Distinct Real Roots

Two different real solutions of a polynomial equation.

Repeated Real Roots

When a polynomial equation has a solution where the same root occurs more than once.