Rewriting Fractions with Variables: Applying the Rules of Polynomials

This lesson teaches how to rewrite polynomial expressions by applying fraction rules. It covers simplifying terms, rewriting rational expressions as sums or differences, and verifying the rewritten expressions. The lesson emphasizes understanding the process of factoring and reducing terms to simplify expressions effectively.

What is the main goal when rewriting polynomial expressions using the rules of fractions?

• To change the denominators

• To make the expression more complex

• To simplify the expression while keeping the denominators the same

• To increase the number of terms

When simplifying 36 * X^6 divided by 6 * X^2, what is the correct simplified form?

• 36 * X^4

• 6 * X^3

• 6 * X^4

• 36 * X^3

How do you verify the correctness of a rewritten rational expression?

• By multiplying the quotient by the divisor

• By adding the original expression to the rewritten one

• By dividing the rewritten expression by the original

• By subtracting the rewritten expression from the original

What happens to the last term when simplifying the expression 2X^2 + 4X - 12 / 2X?

• It becomes zero

• It has an X remaining in the denominator

• It becomes a constant

• It is completely canceled out

What does an exponent of -1 indicate in a rational expression?

• Multiplication by the reciprocal of the term

• Addition of the term

• Division by the term

• Multiplication by the term itself