Simplify a rational expression

Why is it important to be strong in factoring when simplifying expressions?

• It reduces the time taken to solve complex problems.

• It is not necessary for polynomial division.

• It helps in understanding addition and subtraction.

• It is only useful for solving linear equations.

What is the first step in the traditional factoring technique when a GCF is not present?

• Divide by the smallest coefficient.

• Look for perfect square trinomials.

• Apply the X method.

• Use the quadratic formula.

In the X method, what do you do with the constant term of the polynomial?

• Add it to the coefficient of x.

• Ignore it if it's negative.

• List its factors.

• Multiply it by the leading coefficient.

How do you determine which factors to use in the X method?

• Select factors that multiply to the constant term and add to the middle term.

• Pick factors that are both negative.

• Choose the largest factors.

• Use factors that are both positive.

What mistake did the speaker correct in the factorization process?

• Using the wrong method for factoring.

• Not using parentheses correctly.

• Incorrectly identifying the factors of the constant term.

• Forgetting to simplify the expression.

What is the final step in simplifying a rational expression after factoring?

• Multiply the numerator and denominator.

• Cancel out common factors.

• Divide the numerator by the leading coefficient.

• Add the numerator and denominator.

What is the simplified form of the expression after canceling common factors?

• X + 6 / X + 1

• X - 4 / X + 1

• X + 12 / X - 2

• X - 2 / X + 6