6 3 Add,Sub,Mult Polynomials
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ninaThe document provides examples and explanations of adding, subtracting, multiplying polynomials and binomials. It discusses key concepts like like terms, the FOIL method, and patterns in binomial products. Examples are provided to demonstrate multiplying polynomials vertically and horizontally, using the distributive property, and finding the cube of a binomial.
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Maria
This document provides examples of factorizing polynomial expressions in various forms:
1) Factoring the difference of two squares
2) Factoring a perfect square trinomial
3) Factoring the difference and sum of two cubes
It demonstrates techniques for factoring polynomial expressions involving binomials, trinomials, and higher degree terms.
resoltos formulas notables e factorización polinomios
The document provides formulas for squaring binomial expressions and factoring polynomials. It lists the formulas for squaring terms of the form (a ± b)2 and expressions involving addition or subtraction of terms. It also gives examples of factoring polynomials into their prime factors and performing arithmetic operations on polynomials.
2/27/12 Special Factoring - Sum & Difference of Two Cubes
The document is about factoring polynomials, specifically factoring the sum and difference of cubes. It provides the formulas for factoring the sum and difference of cubes, along with examples of factoring expressions using those formulas. It also discusses factoring out the greatest common factor from polynomials.
Polynomials2
The document provides examples of multiplying binomials and polynomials using various methods. It explains how to multiply the sum and difference of two terms, square a binomial, and find special products when polynomial products are mixed. Examples are worked through applying the FOIL method, distributing monomials, and using patterns for squaring binomials and multiplying the sum and difference.
Algebra Revision.ppt
This document provides an overview of topics covered in intermediate algebra revision including: collecting like terms, multiplying terms, indices, expanding single and double brackets, substitution, solving equations, finding nth terms of sequences, simultaneous equations, inequalities, factorizing common factors and quadratics, solving quadratic equations, rearranging formulas, and graphing curves and lines. The document contains examples and practice problems for each topic.
Expresiones algebraicas pdf
This document discusses algebraic expressions, factorization, and radicals. It defines algebraic expressions and outlines rules for multiplying, dividing, and factoring algebraic expressions using notable products such as the difference of squares, sum and difference of cubes, and binomial squares. It also covers simplifying fractional algebraic expressions and operations involving fractions. Finally, it discusses factoring polynomials using the Ruffini method and summarizes rules for adding, subtracting, multiplying, and dividing radicals.
Week-6-SPECIAL-PRODUCTS.pptx
This document discusses special polynomial products:
1) The square of a binomial is the first term squared plus twice the product of the first and second terms plus the second term squared.
2) The square of a trinomial is the sum of the squares of each term plus twice the product of each unique pair of terms.
3) The product of the sum and difference of two binomials is the difference of the squares of the terms.
4) The cube of a binomial is the cube of the first term plus thrice the product of the square of the first term and the second term plus thrice the product of the first term and the square of the second term plus the cube of the second term.
Chapter 6 algebraic expressions iii
The document discusses expanding and factorizing algebraic expressions. It provides examples of expanding expressions using the distributive property, such as expanding (a + b)(c + d) to get ac + ad + bc + bd. It also discusses factorizing expressions by finding common factors, such as factorizing a2 + 2ab + b2 to get (a + b)2. Tips and techniques are presented for expanding, factorizing, finding common factors, and using the distributive property to manipulate algebraic expressions.
Factoring polynomials
Factoring polynomials involves finding common factors that can be divided out of terms, similar to factoring numbers but with variables; this is done by looking for a single variable or number that is a common factor of all terms that can be pulled out in front of parentheses. The document provides examples of different types of factoring polynomials including using the greatest common factor, difference of squares, grouping, and perfect squares and cubes.
The solution-of-problem
1. The document presents problems involving number theory, algebra, geometry, and probability. For number theory, it provides exercises and solutions involving sums of powers and nearest integers. For algebra, it solves systems of equations and determines values based on relationships between variables. For geometry, it calculates areas and volumes. For probability, it determines probabilities of events occurring based on arrangements and selections from sets.
The solution of problem
1. The document presents problems involving number theory, algebra, geometry, and probability. For number theory, it provides exercises and solutions involving sums of powers and finding the nearest integer of a difference. For algebra, it solves systems of equations and determines values based on given equations. For geometry, it calculates areas and volumes. For probability, it finds probabilities of arrangements and outcomes of dice rolls and ball draws.
Matematica
The document provides definitions and explanations of key concepts in algebra including:
- Sum, subtraction, multiplication, division and their properties
- Evaluating algebraic expressions by substituting numeric values
- Factorization using techniques like difference of squares, difference of cubes, and perfect squares
- Products notable including formulas for (a+b)2, (a-b)2, (a+b)3 and (a-b)3
- Examples of simplifying algebraic expressions using definitions and properties like distributive, commutative, associative properties.
Similar to 6 3 Add,Sub,Mult Polynomials (20)
resoltos formulas notables e factorización polinomios
resoltos formulas notables e factorización polinomios
2/27/12 Special Factoring - Sum & Difference of Two Cubes
2/27/12 Special Factoring - Sum & Difference of Two Cubes
6 3 Add,Sub,Mult Polynomials
- 1. ADDING, SUBTRACTING, & MULTIPLYING POLYNOMIALS