tailieunhanh - Mathematics - Lecture 3: Polynomials: Basic operations and factoring

Mathematics - Lecture 3 "Polynomials: Basic operations and factoring" presents the following content: Algebraic expressions and polynomials: addition and subtraction of polynomials, multiplication of polynomials, division of polynomials; factoring: sum and difference of two cubes, factoring trinomials, factoring by grouping, completing the square. | Polynomials: Basic Operations and Factoring Mathematics 17 Institute of Mathematics Lecture 3 Math 17 (Inst. of Mathematics) Polynomials: Basic Operations and Factoring Lec 3 1 / 30 Outline 1 Algebraic Expressions and Polynomials Addition and Subtraction of Polynomials Multiplication of Polynomials Division of Polynomials 2 Factoring Sum and Difference of Two Cubes Factoring Trinomials Factoring By Grouping Completing the Square Math 17 (Inst. of Mathematics) Polynomials: Basic Operations and Factoring Lec 3 2 / 30 Algebraic Expressions and Polynomials An algebraic expression is any combination of variables and constants involving a finite number of basic operations. 3x2 − 5yz 3 √ 2x + 7y Math 17 (Inst. of Mathematics) Polynomials: Basic Operations and Factoring Lec 3 3 / 30 Algebraic Expressions and Polynomials An algebraic expression is any combination of variables and constants involving a finite number of basic operations. 3x2 − 5yz 3 √ 2x + 7y A polynomial is an algebraic expression that is a sum of constants and/or constants multiplied by variables raised to nonnegative integer exponents. 5x3 − 2x4 y 2 + y 3 Math 17 (Inst. of Mathematics) Polynomials: Basic Operations and Factoring Lec 3 3 / 30 Algebraic Expressions and Polynomials An algebraic expression is any combination of variables and constants involving a finite number of basic operations. 3x2 − 5yz 3 √ 2x + 7y A polynomial is an algebraic expression that is a sum of constants and/or constants multiplied by variables raised to nonnegative integer exponents. 5x3 − 2x4 y 2 + y 3 Each addend in a polynomial is called a term of the polynomial. The constant in a term is called its constant coefficient. Math 17 (Inst. of Mathematics) Polynomials: Basic Operations and Factoring Lec 3 3 / .