Domanda del libro di testo
Graph each function. See Examples 1 and 2. ƒ(x) = -3|x|
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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 25
Write each rational expression in lowest terms. See Example 2. (8k + 16) / (9k + 18)
Guida verificata passo dopo passo1
Identify the rational expression given as a fraction: \(\frac{8k + 16}{9k + 18}\).
Factor out the greatest common factor (GCF) from the numerator: \(8k + 16 = 8(k + 2)\).
Factor out the greatest common factor (GCF) from the denominator: \(9k + 18 = 9(k + 2)\).
Rewrite the expression using the factored forms: \(\frac{8(k + 2)}{9(k + 2)}\).
Cancel the common factor \((k + 2)\) from numerator and denominator to simplify the expression to \(\frac{8}{9}\), assuming \(k \neq -2\) to avoid division by zero.
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Factoring Polynomials
Factoring involves rewriting a polynomial as a product of its factors. For expressions like 8k + 16, factoring out the greatest common factor (GCF) simplifies the expression, making it easier to reduce rational expressions.
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Percorso guidato
6:08
Factoring
Simplifying Rational Expressions
A rational expression is simplified by dividing the numerator and denominator by their common factors. This process reduces the expression to its lowest terms, ensuring no further simplification is possible.
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Percorso guidato
2:58Rationalizing Denominators
Greatest Common Factor (GCF)
The GCF is the largest factor shared by two or more terms. Identifying the GCF in both numerator and denominator is essential to factor and simplify rational expressions effectively.
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Percorso guidato
6:08Factoring
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