Multiplying Binomials and Trinomials Using the FOIL Method

This video tutorial explains how to multiply a binomial by a trinomial using the FOIL method. It begins with an introduction to the FOIL method, followed by a step-by-step demonstration using an example problem. The process involves distributing each term of the binomial through the trinomial and then combining like terms to simplify the expression. The video concludes with a final answer and a brief explanation of the FOIL method's application to trinomials.

What is the first step in the FOIL method when multiplying a binomial by a trinomial?

• Combine like terms

• Multiply the first term of the binomial with each term in the trinomial

• Subtract the constants

• Add the coefficients

What is the result of multiplying 2x by 4x^2?

• 8x^2

• 6x^3

• 6x^2

• 8x^3

What do you get when you multiply -5 by 4x^2?

• -20x^2

• 10x^2

• 20x^2

• -10x^2

What is the next step after completing all the multiplications in the FOIL method?

• Divide the terms

• Subtract the constants

• Add the coefficients

• Combine like terms

What is the combined result of -14x^2 and -20x^2?

• 34x^2

• -34x^2

• -6x^2

• 6x^2

What is the final simplified form of the expression 2x - 5 * 4x^2 - 7x + 3?

• 8x^3 - 34x^2 + 41x - 15

• 8x^2 - 34x^2 + 41x - 15

• 8x^3 - 34x^2 + 41x + 15

• 8x^3 - 34x + 41x - 15

What does FOIL stand for?

• First, Outer, Inside, Last

• First, Outside, Inside, Last

• First, Outside, Inner, Last

• First, Outer, Inner, Last

How is the FOIL method extended to trinomials?

• By adding more terms

• By distributing each term from the first parentheses to each term in the second parentheses

• By combining like terms first

• By subtracting terms