Write the rational expression in reciprocal function form

The video tutorial covers the division of polynomials, starting with a review of previous concepts. It explains the process of polynomial division, including graphing and common mistakes. The tutorial also discusses handling remainders, identifying reciprocal functions, and understanding asymptotes. Finally, it provides techniques for finding X and Y intercepts in polynomial graphs.

What is the prerequisite for dividing one polynomial by another?

• The divisor must have a higher degree than the dividend.

• The dividend must have a higher degree than the divisor.

• Both polynomials must be linear.

• Both polynomials must have the same degree.

Which method is recommended for dividing polynomials in the video?

• Synthetic division

• Matrix division

• Long division

• Graphical division

What common mistake do students make during polynomial long division?

• Using synthetic division incorrectly

• Adding instead of subtracting

• Not using parentheses and subtracting correctly

• Forgetting to multiply terms

How can a polynomial division result be recognized as a reciprocal function?

• By rewriting the result in a specific form

• By checking if the result is a linear function

• By ensuring the result has no remainder

• By identifying a negative sign in the result

What is the effect of a negative sign in front of a polynomial function?

• It shifts the graph upwards.

• It reflects the graph across the x-axis.

• It shifts the graph to the right.

• It has no effect on the graph.

How is the vertical asymptote of a rational function determined?

• By finding the y-intercept

• By setting the denominator equal to zero

• By finding the x-intercept

• By setting the numerator equal to zero

What is the y-intercept of a function if plugging zero into the function results in a constant over a constant?

• Undefined

• Negative of the constant

• The constant value

• Zero