Factoring Trinomials Using the Slip and Slide Method

This video tutorial teaches students how to factor trinomials in standard form using the slip-and-slide method. The instructor explains the process step-by-step, including the use of the diamond method for factoring. The video also demonstrates how to verify the factored form using the box method. Additional examples are provided to reinforce learning, and students are encouraged to practice with given problems. The tutorial concludes with a coloring activity to further engage students in applying the slip-and-slide method.

What is the primary goal when factoring a trinomial in standard form?

• To multiply the trinomial by another polynomial

• To find the value of the variable 'x'

• To simplify the trinomial further

• To find the original binomials that were multiplied

What does factoring a trinomial help to identify?

• The integral of the trinomial

• The derivative of the trinomial

• The original binomials from multiplication

• The highest common factor

What does the 'slip' in the slip and slide method refer to?

• Slipping the 'b' term to the end of the trinomial

• Slipping the 'a' term to the end and multiplying it by 'c'

• Slipping the 'c' term to the beginning of the trinomial

• Slipping the trinomial into a simpler form

After slipping the 'a' term and multiplying it by 'c', what type of trinomial do you get?

• A trinomial in reverse order

• A more complex trinomial

• A basic trinomial without a leading coefficient

• A trinomial with a higher degree

In the diamond method, what do the numbers at the top and bottom represent?

• Top: Sum of 'b' and 'c'; Bottom: The 'a' term

• Top: Product of 'b' and 'c'; Bottom: The 'a' term

• Top: Sum of 'a' and 'c'; Bottom: The 'b' term

• Top: Product of 'a' and 'c'; Bottom: The 'b' term

What is the purpose of the diamond method in the slip and slide process?

• To add all terms of the trinomial

• To find factors that sum up to 'b'

• To multiply the coefficients of the trinomial

• To divide the trinomial into simpler parts

What is the next step if a fraction cannot be reduced in the slip and slide method?

• Convert the fraction into a decimal

• Multiply the fraction by the variable

• Slide the denominator in front of the variable

• Leave the fraction as it is

What happens if you cannot reduce a fraction during the slip and slide method?

• The fraction is left as is in the final answer

• The denominator is slid in front of the variable

• The fraction is converted to a whole number

• The fraction is ignored in the final step

What is the final step in the slip and slide method?

• Simplifying the trinomial further

• Adding the factors to find the sum

• Sliding the denominator over if fractions can't be reduced

• Multiplying the factors to check the answer

How do you check if the factored form is correct?

• By adding the factors

• By dividing the trinomial by the factors

• By multiplying the factors together

• By subtracting the factors