Factoring a Trinomial Using a Table

The video tutorial covers factoring polynomials in the form ax^2 + bx + c using tables. It includes multiple examples demonstrating the process, including handling negative coefficients and factoring with a greatest common factor. The tutorial concludes with a real-world application involving a tennis court's dimensions.

What is the primary focus of using a table in factoring trinomials?

• To identify the relationship between the trinomial and its factors

• To eliminate the constant term from the trinomial

• To convert the trinomial into a quadratic equation

• To simplify the trinomial into a single term

When factoring a trinomial using a table, what is the significance of the diagonal in the table?

• It shows the product of the constant terms

• It highlights the like terms that form the binomial factors

• It represents the sum of the coefficients

• It indicates the greatest common factor

In the example provided, what is the first step in factoring the trinomial using a table?

• Add the coefficients of the middle term

• Divide the trinomial by a constant

• Multiply the coefficients of the first and last terms

• Identify the greatest common factor

How do you determine the correct binomial factors when using the table method?

• By finding two numbers that multiply to the constant term

• By identifying two numbers that add to the middle term's coefficient

• By choosing two numbers that subtract to the last term's coefficient

• By selecting two numbers that divide the first term's coefficient

What should you be cautious of when factoring trinomials with negative coefficients?

• Keeping track of the negative signs

• Ensuring the factors are positive

• Reversing the order of the terms

• Ignoring the negative signs

In the context of the video, what is the result of factoring the trinomial 3X^2 - 7X - 40?

• (X - 5)(3X + 8)

• (3X - 5)(X + 8)

• (3X + 5)(X - 8)

• (X + 5)(3X - 8)

What is the first step in factoring a trinomial with a common factor?

• Multiply the trinomial by the common factor

• Divide each term by the common factor

• Add the common factor to each term

• Subtract the common factor from the trinomial

In the real-world problem, what is the given width of the tennis court?

• X + 5

• 7X - 3

• 3X - 5

• 2X + 3

How do you find the length of the tennis court given the trinomial area and one factor?

• By subtracting the given factor from the trinomial

• By dividing the trinomial by the given factor

• By multiplying the trinomial by the given factor

• By adding the trinomial to the given factor

What is the length of the tennis court after factoring the trinomial?

• 3X + 5

• X + 5

• 2X + 3

• 7X - 3