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Chapter 11: Q. 9 (page 765)

Tell whether the given rational expression is proper or improper. If improper, rewrite it as the sum of a polynomial and a proper rational expression.

5x3+2x-1x2-4.

Short Answer

Expert verified

The rational expression 5x3+2x-1x2-4is improper.

The sum of a polynomial and a proper rational expression is5x+22x-1x2-4.

Step by step solution

01

Step 1. Given Information.

The rational expression is,

5x3+2x-1x2-4.

02

Step 2. Improper and Proper Rational Expression.

5x3+2x-1x2-4.

The degree of the numerator=3.

The degree of the denominator=2

Degree of the numerator>Degree of the denominator.

It is an improper rational expression.

03

Step 3. Sum of Polynomial and Proper Rational Expression.

The improper rational expression is,

5x3+2x-1x2-4.

Dividing the expression, we get,

=5x+22x-1x2-4.

The polynomial is 5xand the proper rational expression is22x-1x2-4.

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Most popular questions from this chapter

Solve each system of equations. If the system has no solution, say that it is inconsistent.
x+3y=52x-3y=-8

Graph the equation:y=3x+2

Solve each system of equations. If the system has no solution, say that it is inconsistent.

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In Problems 5鈥�24, graph each equation of the system. Then solve the system to find the points of intersection.

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