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Add or subtract, as indicated. See Example 6. 2√50 - 5√72
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Ch. R - Algebra Review
Lial12th EditionTrigonometryISBN: 9780136552161, 9780135440780, 9780136881117, 9780135440827, 9780135924891
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TOC.tableOfContents
- Ch. R - Algebra Review381
- Ch. 1 - Trigonometric Functions188
- Ch. 2 - Acute Angles and Right Triangles168
- Ch. 3 - Radian Measure and The Unit Circle155
- Ch. 4 - Graphs of the Circular Functions100
- Ch. 5 - Trigonometric Identities238
- Ch. 6 - Inverse Circular Functions and Trigonometric Equations158
- Ch. 7 - Applications of Trigonometry and Vectors148
- Ch. 8 - Complex Numbers, Polar Equations, and Parametric Equations15
Lial12th EditionTrigonometryISBN: 9780136552161, 9780135440780, 9780136881117, 9780135440827, 9780135924891Non è quello che usi tu?Cambia libro di testo
Capitolo 1, Problema 97
Factor each polynomial completely. See Example 6. 6ar + 12br - 5as - 10bs
Guida verificata passo dopo passo1
Group the terms in pairs to make factoring easier: \((6ar + 12br) - (5as + 10bs)\).
Factor out the greatest common factor (GCF) from each group separately. From the first group \((6ar + 12br)\), factor out \$6r$, and from the second group $(5as + 10bs)$, factor out \$5s$.
After factoring out the GCFs, rewrite the expression as \(6r(a + 2b) - 5s(a + 2b)\).
Notice that both terms now contain the common binomial factor \((a + 2b)\). Factor this binomial out.
Write the completely factored form as \((a + 2b)(6r - 5s)\).
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Factoring by Grouping
Factoring by grouping involves rearranging and grouping terms in a polynomial to find common factors within each group. This method helps simplify the expression by factoring out the greatest common factor (GCF) from each group, making it easier to factor the entire polynomial.
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Percorso guidato
6:08
Factoring
Greatest Common Factor (GCF)
The GCF is the largest factor that divides two or more terms in a polynomial. Identifying the GCF in each group of terms is essential for factoring by grouping, as it allows you to simplify terms and reveal common binomial factors.
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Percorso guidato
6:08Factoring
Distributive Property
The distributive property states that a(b + c) = ab + ac. It is used in reverse during factoring to extract common factors from terms. Recognizing how to apply this property helps in rewriting polynomials as products of factors.
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Percorso guidato
2:20Imaginary Roots with the Square Root Property
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