Factoring and FOIL Method Practice

The video tutorial explains the concept of factoring quadratic expressions into products of binomials using the FOIL method in reverse. It provides multiple examples, including factoring x^2 - 3x - 10 and x^2 - 10x + 21, and demonstrates the use of the area model. The tutorial emphasizes recognizing patterns in the FOIL method to simplify the factoring process.

What is the highest power of X in a quadratic expression?

• x

• x^2

• x^3

• x^4

What does the FOIL method stand for?

• First, Outside, Inner, Last

• First, Outer, Inner, Last

• First, Outer, Inside, Last

• First, Outer, Inner, Least

When factoring x^2 + 3x + 2, what are the two binomials?

• (x + 1)(x + 3)

• (x + 2)(x + 3)

• (x + 1)(x + 2)

• (x + 2)(x + 4)

Which terms in the FOIL method create the constant term in a quadratic expression?

• First terms

• Last terms

• Outer terms

• Inner terms

What is the factored form of x^2 - 3x - 10?

• (x + 2)(x - 5)

• (x + 5)(x - 2)

• (x - 2)(x + 5)

• (x - 5)(x + 2)

Which pair of numbers multiplies to -10 and adds up to -3?

• 2 and -5

• -2 and 5

• -5 and 2

• 5 and -2

In the area model, if one binomial factor is (x + 2), what is the other factor for x^2 - 4x - 12?

• (x + 6)

• (x - 6)

• (x - 4)

• (x + 4)

What is the result of multiplying (x + 2)(x - 6) using the FOIL method?

• x^2 + 4x + 12

• x^2 - 4x + 12

• x^2 - 4x - 12

• x^2 + 4x - 12

Which pair of numbers multiplies to 21 and adds up to -10?

• -7 and -3

• 7 and 3

• 1 and 21

• -1 and -21

What is the factored form of x^2 - 10x + 21?

• (x + 1)(x + 21)

• (x - 1)(x - 21)

• (x + 7)(x + 3)

• (x - 7)(x - 3)