Solving a rational Equation

The video tutorial covers simplifying fractions by factoring trinomials and finding the least common denominator (LCD). It explains how to eliminate fractions by multiplying by the LCD and solving the resulting quadratic equation using various methods, including the quadratic formula. The tutorial concludes with simplifying the solution and checking for extraneous solutions.

What is the first step in simplifying a trinomial?

• Factoring the trinomial

• Identifying the least common multiple

• Expanding the trinomial

• Finding the greatest common factor

Why is it important to factor expressions when finding the LCD?

• To simplify the expression

• To make the expression more complex

• To increase the number of terms

• To identify common factors

What is the purpose of multiplying each term by the LCD?

• To increase the degree of the polynomial

• To add more fractions

• To eliminate fractions

• To change the variables

Which method is NOT typically used to solve quadratic equations?

• Graphing the equation

• Using the quadratic formula

• Completing the square

• Factoring

What is the quadratic formula used for?

• Solving linear equations

• Finding the roots of a quadratic equation

• Simplifying rational expressions

• Calculating the area of a triangle

How can you simplify the expression sqrt(316)?

• By breaking it into sqrt(4) times sqrt(79)

• By adding 10 to it

• By dividing it by 3

• By multiplying it by 2

What should be checked after solving a rational expression?

• If the solution is positive

• If the solution is a whole number

• If the solution is less than zero

• If there are any extraneous solutions