Explanation Given Information: The provided rational expression is 11 3 x + 2 x 2 . Formula used: Follow the steps as mentioned below to determine the least common denominator (LCD) of the rational expression. Step1: Write the denominator of the rational expression as a product of a monomial and a prime number. Step2: Take the complete factor of the denominator. Step3: List all the factors from the denominators of the rational expression, if a factor is repeated then consider that factor one time and write it with the highest power factor. Step4: The product of all the factors obtained in step 3 is the least common denominator. Calculation: Consider the rational expression, 11 3 x + 2 x 2 The denominators are 3 x and 3 x 2 . Take the factors of 3 x , 3 x = 3 ⋅ x Now take the factors of 3 x 2 , 3 x 2 = 3 ⋅ x 2 Thus, all the factors from the denominators of the rational expression are 3 , x , 3 , x 2 To compute the LCD take the product of all the non-repeated factors and take repeated factors one time and write the product with the highest power factor, as, LCD = 3 x 2 To make the fractions of the rational expression with LCD, multiply first term of the expression by x x and second term by 3 3

Intermediate Algebra For College Students (9th Edition)

9th Edition

ISBN: 9780321927354

Author: Allen R. Angel, Dennis Runde

Publisher: PEARSON

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Chapter 6, Problem 22RE

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Chapter 6, Problem 21RE

Chapter 6, Problem 23RE

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Chapter 6 Solutions

Intermediate Algebra For College Students (9th Edition)

Ch. 6.1 - Fill in the blanks with the appropriate word,...Ch. 6.1 - Fill in the blanks with the appropriate word,...Ch. 6.1 - Fill in the blanks with the appropriate word,...Ch. 6.1 - Fill in the blanks with the appropriate word,...Ch. 6.1 - Fill in the blanks with the appropriate word,...Ch. 6.1 - Prob. 6ES Ch. 6.1 - Prob. 9ES Ch. 6.1 - Prob. 7ES Ch. 6.1 - Prob. 10ES Ch. 6.1 - Determine the values that are excluded in the...

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