Textbook Question
In Exercises 65–92, factor completely, or state that the polynomial is prime. x3+2x2−4x−8
Ch. P - Fundamental Concepts of Algebra
Blitzer8th EditionCollege AlgebraISBN: 9780136970514
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Table of contents
- 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
Chapter 1, Problem 80
Write each number in scientific notation. 579,000,000,000,000,000
Verified step by step guidance1
Identify the original number: 579,000,000,000,000,000.
Count how many places the decimal point must move to the left to place it after the first non-zero digit (which is 5). For this number, the decimal moves 17 places.
Rewrite the number by placing the decimal point after the first digit: 5.79.
Express the original number as the product of this new decimal number and 10 raised to the power of the number of places moved: \(5.79 \times 10^{17}\).
This is the scientific notation form of the original number.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Scientific Notation
Scientific notation is a way to express very large or very small numbers as a product of a number between 1 and 10 and a power of 10. It simplifies handling and comparing such numbers by using exponents to represent the scale.
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Interval Notation
Place Value and Decimal Point Movement
Understanding place value helps determine how many places to move the decimal point to convert a number into scientific notation. Moving the decimal left for large numbers counts the number of places as the exponent of 10.
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Exponents of Ten
Exponents of ten indicate how many times 10 is multiplied by itself. In scientific notation, the exponent shows the magnitude of the number, with positive exponents for large numbers and negative for small numbers.
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Guided course
04:06Rational Exponents
Related Practice
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In Exercises 77–86, write each number in scientific notation. 64,000
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