Mastering the FOIL Method for Multiplying Polynomials

What is a binomial?

• A polynomial with four terms

• A polynomial with three terms

• A polynomial with two terms

• A polynomial with one term

What does the acronym FOIL stand for?

• First, Outer, Inner, Least

• First, Outside, Inner, Last

• First, Outer, Inner, Last

• First, Outer, Inside, Last

In the FOIL method, what do you multiply in the 'First' step?

• The inner terms of each binomial

• The first terms of each binomial

• The outer terms of each binomial

• The last terms of each binomial

What is the result of multiplying the outer terms in the example x(x + 2) - 5(x + 2)?

• -10

• 2x

• x^2

• -5x

What is the result of multiplying the inner terms in the example x(x + 2) - 5(x + 2)?

• -10

• x^2

• 2x

• -5x

What is the simplified form of x^2 + 2x - 5x - 10?

• x^2 + 7x - 10

• x^2 - 3x - 10

• x^2 - 3x + 10

• x^2 + 3x - 10

In the second example, what is the result of multiplying the first terms Y and 2Y?

• 4Y

• Y^2

• 2Y^2

• 2Y

What is the result of multiplying the outer terms Y and -3 in the second example?

• -3Y

• 3Y

• -Y

• Y

What is the result of multiplying the inner terms 4 and 2Y in the second example?

• 8Y

• 2Y

• 4Y

• 6Y

What is the simplified form of 2Y^2 - 3Y + 8Y - 12?

• 2Y^2 - 5Y + 12

• 2Y^2 + 5Y + 12

• 2Y^2 - 5Y - 12

• 2Y^2 + 5Y - 12