Rational algebraic expression

Cards (10)

  • rational expression is simply a quotient of two polynomials. Or in other words, it is a fraction whose numerator and denominator are polynomials. These are examples of rational expressions: ‍ x + 5 x 2 − 4 x + 4 ‍
  • The domain of the rational function is all real numbers except those that make the denominator equal to zero.
  • A polynomial is an expression consisting of variables raised to non-negative integer powers and multiplied by coefficients which can be any real number or variable.
  • An algebraic expression is a combination of constants, variables, and operators such as addition (+), subtraction (-), multiplication (*), division (÷).
  • An algebraic expression is formed from constants, variables, and operations such as addition, subtraction, multiplication, division, exponentiation, and root extraction.
  • A monomial is a single term with no grouping symbols like parentheses, brackets, or braces.
  • A binomial is a polynomial with exactly two terms.
  • A trinomial is an algebraic expression with three terms.
  • A linear equation is a first degree polynomial equation where the highest power of the variable is 1.
  • A quadratic equation is a second degree polynomial equation where the highest power of the variable is 2.