Textbook Question
In Exercises 65–92, factor completely, or state that the polynomial is prime. x3+2x2−9x−18
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 70
Write each number in decimal notation without the use of exponents.
Verified step by step guidance1
Identify the given number in scientific notation: \(-8.17 \times 10^{6}\).
Recall that \$10^{6}$ means multiplying by 1,000,000 (one million).
To convert to decimal notation, multiply 8.17 by 1,000,000.
Since the original number is negative, keep the negative sign in front of the result.
Write the final number as a standard decimal number without exponents.
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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 expresses numbers as a product of a decimal number and a power of ten, making it easier to handle very large or small values. For example, 8.17×10^6 means 8.17 multiplied by 10 raised to the 6th power.
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Interval Notation
Powers of Ten
Powers of ten represent repeated multiplication of 10. For positive exponents, 10^6 means multiplying 10 by itself six times, which equals 1,000,000. This helps in converting scientific notation to standard decimal form.
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Converting Scientific Notation to Decimal Notation
To convert from scientific notation to decimal notation, multiply the decimal number by the power of ten. For positive exponents, move the decimal point to the right by the exponent's value. For example, −8.17×10^6 becomes −8,170,000.
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Related Practice
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In Exercises 67–82, find each product. (3x−y)(2x+5y)
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Simplify the radical expressions in Exercises 67–74, if possible. ³√9⋅³√6
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Express the distance between the given numbers using absolute value. Then find the distance by evaluating the absolute value expression. −2 and 5
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In Exercises 67–82, find each product. (7x2 y+1)(2x2 y−3)
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In Exercises 69–82, simplify each complex rational expression. (x/3−1)/(x−3)