College Algebra Trigonometry Asian College of Aeronautics AVT

College Algebra & Trigonometry Asian College of Aeronautics AVT 1

POLYNOMIALS ALGEBRAIC EXPRESSION A combination of symbols related by four fundamental operations of algebra. CONSTANT Is a symbol that assumes one specific value. VARIABLE Is a symbol that assumes many values. TERM Is an expression separated by plus or minus sign. MONOMIAL Is an expression consist of one term.

POLYNOMIALS MULTINOMIAL Is an algebraic expression consisting of a sum of any number of terms. POLYNOMIAL Is an algebraic expression consisting of a sum of finite number of monomials wherein each term is considered an Integral Rational Term (IRT). INTEGRAL RATIONAL TERM Is an algebraic term whose factors are real numbers an has a variable with a non-negative integral power. BINOMIAL Is a polynomial consisting exactly two terms. 2 x-y, 3 y+2 TRINOMIAL Is a polynomial consisting of exactly three terms.

ADDITION OF POLYNOMIALS To add two or more polynomials with the same variable, add only their numerical coefficients. To add two or more polynomials, add similar terms together. Add:

SUBTRACTION OF POLYNOMIALS To subtract two similar polynomials, change first the sign of the subtrahend and follow the rules in addition of polynomials. Subtract:

MULTIPLICATION OF POLYNOMIALS To multiply polynomials follow th e law of signs for multiplication. Multiply:

DIVISION OF POLYNOMIALS To divide polynomials follow the rules of exponents law of power of a quotient. Divide:

SYNTHETIC DIVISION Example: