   Chapter 4.4, Problem 1PS

Chapter
Section
Textbook Problem

For Problems 1-40, perform the indicated operations, and express your answers in simplest form. (Objective 1) 2 x x 2 + 4 x + 5 x

To determine

To Find:

The simplest expression of 2xx2+4x+5x.

Explanation

Approach:

The expression of a rational is defined as the quotient obtained by a division of two polynomials in the form of p(x)q(x) where p(x) and q(x) are polynomials such that the variable x does not assume values such that q(x)=0.

For values of x where q(x) and k(x) are both nonzero expressions, then by the principle of fractions, for all polynomials p(x), the following holds.

p(x)k(x)q(x)k(x)=p(x)q(x).

Calculation:

The given expression is 2xx2+4x+5x.

Factorise the terms,

2xx2+4x+5x=2xx(x+4)+5x

The LCD of the denominator is x(x+4) where x0orx4

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Use the Change of Base Formula to evaluate log12 27.

Precalculus: Mathematics for Calculus (Standalone Book)

Find an equation of the line that has slope 13 and y-intercept 43.

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Which of the following three graphs is the graph of ? Explain your choice.

Mathematical Applications for the Management, Life, and Social Sciences

Use the Taylor polynomial of degree 2 for centered at 1 to estimate . 1.250 1.255 1.265 1.270

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 