Factoring Polynomials Using the Xbox Method

This video tutorial explains how to factor a polynomial using the Xbox method. The instructor demonstrates the process with a specific example, 4x^2 - 9x - 9, and guides viewers through setting up the problem, finding factors, and completing the method. The tutorial emphasizes the importance of identifying the correct factors and verifying the final factored form. Key points include understanding the role of signs in determining the greatest common factor and ensuring the outside factors multiply to the inside terms.

What is the primary purpose of the Xbox method?

• To solve linear equations

• To factor polynomials

• To graph quadratic functions

• To simplify fractions

In the example polynomial 4x^2 - 9x - 9, what is the first step in the Xbox method?

• Find the roots

• Graph the polynomial

• Solve for x

• Create an X and a box

What do you place in the top part of the X diagram?

• The sum of the coefficients

• The product of the first and last terms

• The middle term

• The constant term

Which two numbers multiply to -36x^2 and add to -9x?

• 6x and -6x

• 2x and -18x

• 3x and -12x

• 4x and -9x

Where do you place the numbers 3x and -12x in the diagrams?

• In the corners of the X

• In the top row of the box

• In the diagonals of the box

• In the bottom row of the box

What is the greatest common factor of the top row in the box?

• 3

• 12

• 4X

• X

How do you determine the sign of the factors in the Xbox method?

• By the sign of the first term in the row or column

• By the sign of the last term in the row or column

• By the sign of the middle term

• By the sign of the constant term

What is the factored form of the polynomial 4x^2 - 9x - 9?

• (4x + 3)(x - 3)

• (4x - 3)(x + 3)

• (2x + 3)(2x - 3)

• (4x + 9)(x - 1)