Math 021 Formulas and Concepts (Part 2 of 3)Monomial: expression containing 1 term. Binomial: expression containing 2 terms. Trinomial: expression containing 3 terms. Multinomial: expression containing more than 1 term.Coefficient of the monomial The constant factor of the monomial If there is no constant factor then the coefficient is understood to be 1Degree The power to which the variable is raised If the term or monomial contains several variables, then the degree is the sum of the powers of all the variables. The degree of a polynomial is the degree of the term with the highest degreeDifference of two Squares: (a + b)(a – b)a2 – b2 = (a + b)(a – b) Squaring a Binomial: (a + b)2 (a + b)2 = a2 + 2ab + b2Squaring a Binomial: (a – b)2(a – b)2 = a2 – 2ab + b2Cubing a Binomial: (a + b)3(a + b)3 = a3 + 3a2b + 3ab2 + b3Cubing a Binomial: (a – b)3 (a – b)3 = a3 – 3a2b – 3ab2 – b3Sum and Difference of two Cubesa3 – b3 = (a – b) (a2 + ab + b2)a3 + b3 = (a + b) (a2 – ab + b2)Rational Expression Algebraic Expression with form: P/Q P and Q are polynomials such that Q ≠ 0Domain of a rational function Set of all real numbers except those that make the denominator equal 0Equation that equals negative one(A – B) (B – A)Expression Factored Version(a + b)2a2 + 2ab + b2(a – b)2a2 – 2ab + b2(a + b)3a3 + 3a2b + 3ab2 + b3(a – b)3a3 – 3a2b – 3ab2 – b3a3 – b3(a – b) (a2 + ab + b2)a3 + b3(a + b) (a2 – ab + b2)a2 – b2(a + b) (a –
View Full Document