Explanation Given Information: The provided expression is 2 x − 3 x − 2 + x + 3 x + 1 . Formula used: Sum of rational expression: A rational expression is an algebraic of the form P Q , where P and Q are simpler expression (polynomials) and the denominator Q ≠ 0 P Q + R S = P S + R Q Q S Calculation: Consider the expression 2 x − 3 x − 2 + x + 3 x + 1 . Apply the sum of rational expression rule then simplify it, 2 x − 3 x − 2 + x + 3 x + 1 = ( 2 x − 3 ) ( x + 1 ) + ( x + 3 ) ( x − 2 ) ( x − 2 ) ( x + 1 ) Multiply the expressions in numerator and denominator, 2 x − 3 x − 2 + x + 3 x + 1 = ( 2 x − 3 ) ( x + 1 ) + ( x + 3 ) ( x − 2 ) ( x <

7th Edition

ISBN: 9781337291248

Author: Waner, Stefan.

Publisher: Cengage Learning,

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Chapter 0.4, Problem 4E

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To calculate: The simplified of the expression 2x−3x−2+x+3x+1 into a single expression.

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Chapter 0.4, Problem 3E

Chapter 0.4, Problem 5E

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For Exercises 115–120, factor the expressions over the set of complex numbers. For assistance, consider these examples. • In Section R.3 we saw that some expressions factor over the set of integers. For example: x - 4 = (x + 2)(x – 2). • Some expressions factor over the set of irrational numbers. For example: - 5 = (x + V5)(x – V5). To factor an expression such as x + 4, we need to factor over the set of complex numbers. For example, verify that x + 4 = (x + 2i)(x – 2i). 115. а. х - 9 116. а. х? - 100 117. а. х - 64 b. x + 9 b. + 100 b. x + 64 118. а. х — 25 119. а. х— 3 120. а. х — 11 b. x + 25 b. x + 3 b. x + 11

Rationalize the numerator of x+10 – 100 Paragraph A.

In Exercises 126–129, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. 126. Once a GCF is factored from 6y – 19y + 10y“, the remaining trinomial factor is prime. 127. One factor of 8y² – 51y + 18 is 8y – 3. 128. We can immediately tell that 6x? – 11xy – 10y? is prime because 11 is a prime number and the polynomial contains two variables. 129. A factor of 12x2 – 19xy + 5y² is 4x – y.

Chapter 0 Solutions

Applied Calculus

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Ch. 0.1 - Prob. 11E Ch. 0.1 - Prob. 12E Ch. 0.1 - Prob. 13E Ch. 0.1 - Calculate each expression in Exercises 124, giving...Ch. 0.1 - Prob. 15E Ch. 0.1 - Prob. 16E Ch. 0.1 - Calculate each expression in Exercises 124, giving...Ch. 0.1 - Prob. 18E Ch. 0.1 - Prob. 19E Ch. 0.1 - Prob. 20E Ch. 0.1 - Prob. 21E Ch. 0.1 - Prob. 22E Ch. 0.1 - Prob. 23E Ch. 0.1 - Prob. 24E Ch. 0.1 - Prob. 25E Ch. 0.1 - Prob. 26E Ch. 0.1 - Prob. 27E Ch. 0.1 - Prob. 28E Ch. 0.1 - Prob. 29E Ch. 0.1 - Prob. 30E Ch. 0.1 - Prob. 31E Ch. 0.1 - Prob. 32E Ch. 0.1 - Prob. 33E Ch. 0.1 - Prob. 34E Ch. 0.1 - Prob. 35E Ch. 0.1 - Prob. 36E Ch. 0.1 - Convert each expression in Exercises 25-50 into...Ch. 0.1 - Prob. 38E Ch. 0.1 - Prob. 39E Ch. 0.1 - Prob. 40E Ch. 0.1 - Prob. 41E Ch. 0.1 - Prob. 42E Ch. 0.1 - Prob. 43E Ch. 0.1 - Prob. 44E Ch. 0.1 - Prob. 45E Ch. 0.1 - Prob. 46E Ch. 0.1 - Prob. 47E Ch. 0.1 - Prob. 48E Ch. 0.1 - Prob. 49E Ch. 0.1 - Prob. 50E Ch. 0.2 - Evaluate the expression sin Exercises 116. 33 Ch. 0.2 - Prob. 2E Ch. 0.2 - Evaluate the expression sin Exercises 116. 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The simplified of the expression 2 x − 3 x − 2 + x + 3 x + 1 into a single expression.

Solution Summary: The author explains how to simplify the expression 2x-3x-2+1 into a single expression.

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To calculate: The simplified of the expression 2x−3x−2+x+3x+1 into a single expression.

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Chapter 0 Solutions