   Chapter 7.R, Problem 1TFQ

Chapter
Section
Textbook Problem

# Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement. x ( x 2 + 4 ) x 2 − 4 can be put in the form A x + 2 + B x − 2 .

To determine

To Discuss: If x(x2+4)x24=Ax+2+Bx2 is true or false

Explanation

The degree of numerator is greater than the degree of denominator in the expression x(x2+4)x24. So, to use the concept of partial fraction, first divide the numerator by denominator to write it as shown below:

x(x2+4)x24=x+8xx24x(x2+4)x2

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