Chapter 4.CM, Problem 26CM

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 Problems 23-28, perform the indicated operations and express the answer in simplest form. 3 x 2 + x − 6 + 5 x 2 − 9

To determine

To Solve:

The 3x2+x6+5x29 expression in simplest form.

Explanation

Approach:

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 equation is 3x2+xâˆ’6+5x2âˆ’9.

Multiply and divide by the LCD, which is (x+3)(xâˆ’3)(xâˆ’2).

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