The video introduces rational expressions, emphasizing their importance in the course. It explains that rational expressions are fractions where both the numerator and the denominator are polynomials. The video further defines polynomials as sums of monomials with specific properties, such as no negative exponents or variables in denominators. The general form of polynomials is discussed, followed by examples of different types of polynomials like binomials and trinomials. The video concludes with a brief overview of operations on rational expressions, including simplifying and solving equations.

What is a rational expression primarily composed of?

• A product of integers

• A fraction of polynomials

• A fraction of integers

• A sum of fractions

Which of the following is NOT a characteristic of a polynomial?

• Variables can have negative exponents

• Variables cannot be multiplied together

• It can have a constant term

• It is a sum of monomials

What is the general form of a polynomial?

• A product of variables

• A sum of fractions

• A fraction of integers

• A sum of monomials with descending exponents

What operation creates a rational expression?

• Multiplying two polynomials

• Dividing two polynomials

• Subtracting two polynomials

• Adding two polynomials

What will be a major focus in the course regarding rational expressions?

• Solving them using addition

• Simplifying and solving equations

• Multiplying them with integers

• Converting them to decimals