Factoring Quadratics and FOIL Method

This video tutorial from Arizona State University's Global Freshman Academy covers the process of factoring a quadratic equation with a leading coefficient greater than one. The example problem is 2y^2 - 5y + 2. The tutorial walks through identifying common factors, multiplying terms, using a T-chart to find factors, and breaking down the quadratic into binomials. It concludes with verifying the factorization using the FOIL method.

What is the main topic of the video tutorial?

• Factoring quadratics with leading coefficient greater than one

• Factoring linear equations

• Solving quadratic equations

• Graphing quadratic functions

What is the first step in factoring the quadratic 2y^2 - 5y + 2?

• Multiply the first and last terms

• Check for a greatest common factor

• Use the quadratic formula

• Create a t-chart

What do you do after checking for a greatest common factor in a quadratic?

• Divide the entire equation by 2

• Multiply the first and third terms

• Add the first and second terms

• Subtract the second term from the third

What is the product of the first and third terms in the example problem?

• 4y^2

• 5y

• 2y^2

• 10y

What is the purpose of creating a t-chart in this context?

• To find factors that multiply to a specific product and add to the middle term

• To organize the terms of the quadratic

• To solve the quadratic equation

• To graph the quadratic equation

Which pair of factors works for the quadratic 2y^2 - 5y + 2?

• -4y and -y

• 3y and -2

• 2y and 2

• y and -5

What is the next step after identifying the correct factors?

• Graph the equation

• Solve the quadratic equation

• Set up the binomials

• Check for errors

How do you determine the greatest common factor for setting up binomials?

• By multiplying the terms

• By dividing the terms by 2

• By adding the coefficients

• By finding the largest factor common to both terms

What is the greatest common factor between 2y^2 and -4y?

• 2

• 4y

• y

• 2y

What is the final step in completing the factorization?

• Verify using the FOIL method

• Solve for y

• Graph the binomials

• Check for additional factors