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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 –


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PSU MATH 021 - Monomial

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