Learning to simplify a rational expression

The video tutorial focuses on simplifying rational functions by factoring trinomials in both the numerator and denominator. It explains the process of identifying factors that multiply to a specific product and add to a specific sum. The tutorial also covers the division property, emphasizing that simplification is only possible when terms are separated by multiplication. The final simplified expression is presented, and common mistakes are highlighted.

Why is it important to simplify rational functions?

• To make them easier to graph

• To find alternative representations

• To reduce computational complexity

• To eliminate all variables

When factoring a trinomial, what are you looking for in the numbers?

• Numbers that add to a specific sum

• Numbers that divide evenly

• Numbers that are prime

• Numbers that are even

What is the first step in factoring the numerator of a rational expression?

• Divide by the smallest factor

• Find numbers that multiply to a specific product

• Add all coefficients

• Identify the largest factor

What must be true for terms to be canceled in a rational expression?

• They must be negative

• They must be separated by addition

• They must be separated by multiplication

• They must be equal

What is the final simplified form of the expression given in the tutorial?

• n + 6 / n - 4

• n - 7 / n + 6

• n - 4 / n + 6

• n + 6 / n - 7