Factoring Trinomials Using the Slide & Divide Method

The video tutorial explains the slide and divide method for factoring trinomials with a leading coefficient other than one. It provides three examples: 7x^2 - 26x - 8, 3x^2 - 17x + 20, and 9x^2 + 15x + 4. Each example demonstrates the slide step, where the leading coefficient is multiplied with the constant term, and the divide step, where the factors are divided by the original leading coefficient. The tutorial also covers reducing fractions when necessary.

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

• Divide the middle term by the leading coefficient

• Multiply the leading coefficient by the constant term

• List all factors of the leading coefficient

• Factor the trinomial as usual

After sliding, what should the leading coefficient of the trinomial be?

• 0

• 1

• The original leading coefficient

• The product of the original leading coefficient and the constant term

How do you factor the trinomial x^2 - 26x - 56?

• x + 2 and x - 28

• x - 2 and x + 28

• x - 7 and x + 8

• x + 7 and x - 8

What do you do if a term does not divide evenly by the leading coefficient after sliding?

• Leave the term as is

• Multiply the term by the leading coefficient

• Subtract the leading coefficient from the term

• Pull the leading coefficient in front of the term

What is the purpose of the slide and divide method?

• To factor trinomials with a leading coefficient other than 1

• To eliminate the leading coefficient

• To simplify complex trinomials

• To divide trinomials by their leading coefficient

What factors of 60 sum up to -17?

• 6 and 10

• -6 and -10

• 5 and 12

• -5 and -12

After sliding and dividing, what is the factored form of 3x^2 - 17x + 20?

• (x - 5)(3x - 4)

• (3x + 5)(x + 4)

• (3x - 5)(x - 4)

• (x - 5)(x - 4)

In the special scenario, what do you do if a fraction cannot be reduced?

• Multiply the fraction by the leading coefficient

• Pull the denominator in front of the term

• Reduce the fraction before dividing

• Leave the fraction as is

What is the final factored form of 9x^2 + 15x + 4?

• (x + 3)(x + 12)

• (9x + 1)(x + 4)

• (x + 1/3)(x + 4/3)

• (3x + 1)(3x + 4)

Why is it necessary to reduce fractions in the slide and divide method?

• To ensure the leading coefficient is 1

• It is not necessary; it's an optional step

• To simplify the final answer

• To make division by the leading coefficient possible