Dividing two rational expression by factoring to simplify

The video tutorial covers the basics of dividing and multiplying fractions, including the use of cross multiplication for proportions. It explains how to multiply fractions directly and divide them using the reciprocal method. The tutorial also delves into more complex operations involving polynomial fractions, demonstrating how to factor and simplify these expressions by canceling terms.

What is the correct method to divide fractions?

• Cross multiply the fractions

• Subtract the fractions

• Multiply by the reciprocal of the divisor

• Add the fractions

When multiplying fractions, what is the correct approach?

• Cross multiply the numerators and denominators

• Add the numerators and denominators

• Subtract the numerators and denominators

• Multiply the numerators and denominators directly across

What operation is used to divide polynomial fractions?

• Cross multiplication

• Multiplication by the reciprocal

• Addition of polynomials

• Subtraction of polynomials

What is the first step in simplifying polynomial expressions before multiplication?

• Add all terms together

• Factor each polynomial expression

• Multiply all terms directly

• Subtract the smallest term

How do you simplify a polynomial expression after rewriting it as a multiplication problem?

• Add all terms together

• Cancel out common terms

• Subtract the smallest term

• Multiply all terms directly

What is the result of dividing X^2 - 9X + 20 by X^2 + 10X + 21 after factoring and simplifying?

• X + 7

• X - 5

• 6 * (X - 5) / (X + 3)^2

• X - 4

Which terms can be canceled out in the expression X - 5 * X - 4 divided by X + 7 * X + 3 * 6 * X + 7 divided by X - 4 * X + 3?

• X - 5 and X + 3

• X + 3 and X - 4

• X - 4 and X + 7

• X + 7 and X - 5