8-1 Add/subtract Polynomials

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8-1 Add/subtract Polynomials
 Polynomial – a monomial or sum of monomials.
 Binomial – the sum of 2 monomials.
 Trinomial – the sum of 3 monomials.
 Degree of a monomial – the sum of the degree of any term in a polynomial.
 Degree of a polynomial – the greatest degree of any term in a polynomial.
 Standard form of a polynomial – the terms are ordered from greatest to least degree.
 Leading coefficient – the coefficient of the first term.
8-3 Multiplying Polynomials
 FOIL method – a method used to multiply binomials.
 Quadratic expression – an expression in which one variable has a degree of 2. ax2 + bx + c
8-5 Using the Distributive Property
 Factoring – to express a polynomial as a product of monomials and polynomials.
 Factoring by grouping – using the distributive property to factor.
 Zero product property – if the product of 2 factors is 0, at least one factor has to be 0.
8-6 Solving x2 +bc + c = 0
 Quadratic equation – the equation ax2 + bx + c = 0, where a≠0.
8-7 Solving ax2 + bx + c = 0
 Prime polynomial – a polynomial that cannot be written as a product of 2 polynomials with
integral coefficients.
8-8 Difference of Squares
 Difference of two squares – 2 perfect squares separated by a subtraction sign.
8-9 Perfect Squares
 Perfect square trinomial – a trinomial that is the square of a binomial.
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