Explanation Given: 5 x x 3 + 2 x 2 − 3 x = x ( x − 1 ) ( x − 5 ) ( x + 3 ) Concept Used: Equivalent rational expressions are different rational expressions that name the same expression for example the fractions 1 2 x , 2 4 x & x 2 x 2 are all equivalent rational expressions. Multiplying an expression by 1 produces an equivalent expression P Q = P Q ⋅ 1 = P Q ⋅ R R = P R Q R Calculation: Given in the denominator of x ( x − 1 ) ( x − 5 ) ( x + 3 ) equivalent rational expression of 5 x x 3 + 2 x 2 − 3 x , we have to find “what to multiply in x 3 + 2 x 2 − 3 x to get x ( x − 1 ) ( x − 5 ) ( x + 3 ) ”, as ( x 3 + 2 x 2 − 3 x ) = x ( x 2 + 2 x − 3 ) = x ( x 2 + 3 x − x − 3 ) = x ( x + 3 ) ( x − 1 ) , thus we have to multiply ( x − 5 ) in x 3 + 2 x 2 − 3 x to get x ( x − 1 ) ( x − 5 ) ( x + 3 ) , i.e

2nd Edition

ISBN: 9780135257500

Author: Martin-Gay

Publisher: PEARSON

See similar textbooks

Concept explainers

Quadratic Equation

When it comes to the concept of polynomial equations, quadratic equations can be said to be a special case. What does solving a quadratic equation mean? We will understand the quadratics and their types once we are familiar with the polynomial equations …

Demand and Supply Function

The concept of demand and supply is important for various factors. One of them is studying and evaluating the condition of an economy within a given period of time. The analysis or evaluation of the demand side factors are important for the suppliers to …

Videos

Question

Chapter 14.3, Problem 50ES

To determine

Write the given rational expression as an equivalent rational expression whose denominator is given 5xx3+2x2−3x=x(x−1)(x−5)(x+3)

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 14.3, Problem 49ES

Chapter 14.3, Problem 51ES

Students have asked these similar questions

Which rational expression is undefined when x = 0? 5x2-4 3x-3 6x? 9x-3 8x +6 -x² + 1 O 4x-8 -2x2

Q 6) please show all work

Write the definition of the rational number 2/7

Chapter 14 Solutions

Algebra Foundations

Ch. 14.1 - Use the choices below to fill in each blank. Some...Ch. 14.1 - Prob. 2VRVC Ch. 14.1 - Prob. 3VRVC Ch. 14.1 - Prob. 4VRVC Ch. 14.1 - Prob. 5VRVC Ch. 14.1 - Prob. 6VRVC Ch. 14.1 - Prob. 7VRVC Ch. 14.1 - Prob. 8VRVC Ch. 14.1 - Prob. 1ES Ch. 14.1 - Prob. 2ES

Knowledge Booster

$Algebra$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

Write the given rational expression as an equivalent rational expression whose denominator is given 5 x x 3 + 2 x 2 − 3 x = x ( x − 1 ) ( x − 5 ) ( x + 3 )

Solution Summary: The author explains the concept of equivalent rational expressions.

Concept explainers

Videos

Write the given rational expression as an equivalent rational expression whose denominator is given 5xx3+2x2−3x=x(x−1)(x−5)(x+3)

Want to see the full answer?

Chapter 14 Solutions