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Ch. R - Review of Basic Concepts
Lial - College Algebra 13th Edition
Lial13th EditionCollege AlgebraISBN: 9780136881063당신이 사용하는 게 아니라요?교과서 변경
모든 교과서Lial 13th EditionCh. R - Review of Basic Concepts문제 97
1장, 문제 97

Factor by any method. See Examples 1–7. x2+xy-5x-5y

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Group the terms in pairs to make factoring easier: \((x^2 + xy) - (5x + 5y)\).
Factor out the greatest common factor (GCF) from each group: \(x(x + y) - 5(x + y)\).
Notice that both terms contain the common binomial factor \((x + y)\).
Factor out the common binomial \((x + y)\): \((x + y)(x - 5)\).
The expression is now factored completely as \((x + y)(x - 5)\).

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주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Factoring by Grouping

Factoring by grouping involves rearranging and grouping terms in a polynomial to find common factors within each group. This method is useful when a polynomial has four terms, allowing you to factor out common binomials and simplify the expression.
추천 영상:
04:36
Factor by Grouping

Common Factors

Identifying common factors means finding terms or expressions that appear in multiple parts of a polynomial. Extracting these common factors simplifies the polynomial and is a crucial step in factoring complex expressions.
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5:57
Graphs of Common Functions

Polynomial Terms and Variables

Understanding polynomial terms and variables is essential for factoring. Each term consists of coefficients and variables raised to powers, and recognizing how these combine helps in grouping and factoring the expression correctly.
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05:28
Equations with Two Variables
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