Multiplying Binomials by the FOIL Method

The video tutorial explains how to multiply polynomials using the FOIL method. It starts with simple monomial and binomial multiplication, then introduces the FOIL method for binomials. The tutorial covers common mistakes and provides advanced examples, including multiplying binomials with trinomials.

What is the result of multiplying 2x by 3x?

• 5x^2

• 6x^2

• 5x

• 6x

In the FOIL method, what does the 'O' stand for?

• Outer

• Order

• Over

• Other

When using the FOIL method, what is the result of multiplying the inner terms of (x + 3) and (x - 2)?

• -2x

• 6

• 3x

• x^2

What is a common mistake to avoid when using the FOIL method?

• Ignoring the inner terms

• Forgetting to multiply the first terms

• Using the wrong sign for a term

• Not multiplying the last terms

What is the result of multiplying x^2 by -2x in the example x^2 + 4 times -2x - 1?

• -2x^3

• 2x^3

• -2x^2

• 2x^2

When multiplying a binomial by a trinomial, what is the first step?

• Combine like terms immediately

• Multiply the first term of the binomial across the trinomial

• Use the FOIL method

• Multiply the last term of the binomial across the trinomial

In the example of multiplying x + 2y by 3x - y - 4, what is the result of combining the like terms?

• 4xy

• 6xy

• 7xy

• 5xy