Chapter 4.7, Problem 26PS

### Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
ISBN: 9781285195728

Chapter
Section

### Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
ISBN: 9781285195728
Textbook Problem

# For problem 1-30, solve each equation. (Objective 1) 2 n 2 + 4 n + 3 n 2 − 3 n − 28 = 5 n 2 − 6 n − 7

To determine

To Solve:

The given rational expression.

Explanation

Procedure used:

Rational expression, a quotient obtained by division of two polynomials in form of p(x,y)q(x,y) where p(x,y) and q(x,y) are polynomials in such a way that the variables x, y do not assume values such that q(x,y)=0.

If ab and cd are rational, then addition or subtraction of rational formed by making the denominator equal using LCD and perform the operation on the numerators as follows:

And,

Same algebra is used for rational expression.

Calculation:

The given rational expression is 2n2+4n+3n2âˆ’3nâˆ’28=5n2âˆ’6nâˆ’7.

The LCD of the denominators is n(n+4)(nâˆ’7)(n+1) where nâ‰ 0,âˆ’4,7â€‰andâ€‰âˆ’1.

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