Question

. The example x²-8/2x²-3x+18 is (a polynomial, a rational, a linear, a absolute value) expression because the numerator and denominator are (rational, polynomials, absolute values, linear) . Rewrite the rational expression in the form quotient + remainder/divisor:

A. 6y²-11y+15/2y+7
B. 3y-16+127/2y+7
C. 3y-16
D. 3y-16-97/2y+7
E. 3y-16+127​

Answer 1

The expression x²-8/2x²-3x+18 is a rational expression, as it is the ratio of two polynomials. To rewrite it in the form of quotient + remainder/divisor, polynomial division must be performed, which requires more details than provided in the question.

Step-by-step explanation:

The expression x²-8/2x²-3x+18 is a rational expression because the numerator and denominator are polynomials. Rational expressions are those that can be written as a ratio of two polynomials. In mathematics, understanding the type of expression you are working with helps to determine the methods you use to simplify or solve it.

To rewrite a rational expression in the form quotient + remainder/divisor, we would perform polynomial division. However, without the specifics of an algebraic long division process, a correct option for the expression 6y²-11y+15/2y+7 cannot be provided. More detail or calculation steps would be necessary to arrive at the proper form among the given options.