Using the LCD to solve a rational expression

The video tutorial covers the process of solving equations by identifying the least common denominator (LCD), applying the distributive property and FOIL method, combining like terms, and factoring quadratic equations. The instructor explains each step in detail, highlighting the differences between solving and adding equations. The tutorial progresses from basic problems to more complex ones, demonstrating how to solve quadratic equations and find solutions using various methods.

What is the primary purpose of identifying the LCD when solving equations?

• To add fractions

• To simplify numerators

• To find the greatest common factor

• To eliminate denominators

Which method is described as a 'fancy way' of applying the distributive property?

• Substitution

• Partial fraction decomposition

• Cross-multiplication

• FOIL

What is the result of combining 20X^2 and 6X^2?

• 30X^2

• 14X^2

• 26X^2

• 27X^2

What is the next step after rearranging terms to solve for zero in a quadratic equation?

• Apply the quadratic formula

• Graph the equation

• Factor the equation

• Use substitution

Which of the following is a factor of the quadratic equation discussed in the video?

• X + 5

• X - 3

• X + 7

• X - 1

What are the solutions to the quadratic equation after factoring?

• X = 7 and X = 5

• X = 5/7 and X = 3

• X = 3/5 and X = 7

• X = 5 and X = 3

Which method can be used to verify the factorization of a quadratic equation?

• Completing the square

• Zero product property

• Substitution

• Graphing