Slide and Divide Method Concepts

This video tutorial teaches how to factor trinomials with a leading coefficient greater than one using the slide and divide method. It covers two examples: one without a greatest common factor (GCF) and one with a GCF. The tutorial explains the steps to factor trinomials by sliding the leading coefficient, multiplying it with the last term, and then factoring the resulting expression. It also includes practice problems for further learning.

What is the first step in the slide and divide method?

• Divide the trinomial by the leading coefficient.

• Factor the trinomial directly.

• Multiply the leading coefficient with the constant term.

• Check for a greatest common factor.

What do you do if there is no greatest common factor among the terms?

• Start factoring immediately.

• Add a new term to the trinomial.

• Multiply the leading coefficient with the constant term.

• Divide each term by the leading coefficient.

After modifying the terms, what is the next step in factoring the trinomial?

• Subtract the constant term from the trinomial.

• Add the leading coefficient back to the trinomial.

• Divide the trinomial by the leading coefficient.

• Find two numbers that multiply to the new constant and add to the middle term.

What should you do after obtaining the product of binomials?

• Add the original leading coefficient to each term.

• Divide each term by the original leading coefficient.

• Multiply the binomials by the original leading coefficient.

• Subtract the original leading coefficient from each term.

What is the purpose of dividing by the original leading coefficient in the slide and divide method?

• To multiply the polynomial by the leading coefficient.

• To add the leading coefficient back to the polynomial.

• To subtract the leading coefficient from the polynomial.

• To simplify the fractions.

How do you handle fractions that cannot be simplified?

• Subtract them from the middle term.

• Add them to the constant term.

• Multiply them by the original leading coefficient.

• Leave them as they are.

What is the result of dividing 5 by 5 in the context of the slide and divide method?

• 5

• 0

• 1

• 10

What is the final factored form of the polynomial 5x^2 + 11x + 6?

• x + 5 * x + 6

• 5x + 1 * x + 6

• 5x + 6 * x + 1

• x + 1 * 5x + 6

What is the first step when a polynomial has a greatest common factor?

• Factor out the greatest common factor.

• Multiply the terms by the greatest common factor.

• Add the greatest common factor to each term.

• Ignore the greatest common factor.

In the second example, what is the greatest common factor of the polynomial?

• 2

• 5

• 3

• 4