Domanda del libro di testo
In Exercises 59–94, solve each absolute value inequality. |3x - 8| > 7
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Ch. 1 - Equations and Inequalities
Blitzer8th EditionCollege AlgebraISBN: 9780136970514
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TOC.tableOfContents
- Ch. P - Fundamental Concepts of Algebra311
- Ch. 1 - Equations and Inequalities398
- Ch. 2 - Functions and Graphs407
- Ch. 3 - Polynomial and Rational Functions306
- Ch. 4 - Exponential and Logarithmic Functions247
- Ch. 5 - Systems of Equations and Inequalities173
- Ch. 6 - Matrices and Determinants143
- Ch. 7 - Conic Sections124
- Ch. 8 - Sequences, Induction, and Probability251
Capitolo 2, Problema 73
Exercises 73–75 will help you prepare for the material covered in the next section. Multiply: (7 - 3x)(- 2 - 5x)
Guida verificata passo dopo passo1
Identify the two binomials to be multiplied: \((7 - 3x)\) and \((-2 - 5x)\).
Apply the distributive property (also known as the FOIL method for binomials) to multiply each term in the first binomial by each term in the second binomial: multiply \(7\) by \(-2\), then \(7\) by \(-5x\), then \(-3x\) by \(-2\), and finally \(-3x\) by \(-5x\).
Write out each product explicitly: \(7 \times (-2)\), \(7 \times (-5x)\), \(-3x \times (-2)\), and \(-3x \times (-5x)\).
Simplify each product by performing the multiplication and combining constants and variables appropriately.
Combine all the simplified terms into a single expression and then combine like terms if any exist.
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Distributive Property
The distributive property allows you to multiply each term inside one parenthesis by each term inside the other. It is essential for expanding expressions like (7 - 3x)(-2 - 5x) by multiplying every term in the first binomial by every term in the second.
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04:15
Multiply Polynomials Using the Distributive Property
Combining Like Terms
After expanding the expression, you often get multiple terms with the same variable part. Combining like terms means adding or subtracting these terms to simplify the expression into a standard polynomial form.
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5:22Combinations
Polynomial Multiplication
Multiplying two binomials results in a polynomial, typically of degree two. Understanding how to multiply polynomials helps in simplifying expressions and solving equations involving polynomial terms.
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03:42Finding Zeros & Their Multiplicity
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