Algebra: Multiplying a binomial by an Algebraic Expression

The video tutorial explains the FOIL method for multiplying binomials, which involves multiplying the First, Outer, Inner, and Last terms. Each step is demonstrated with examples, showing how to handle coefficients and variables. The tutorial concludes with combining like terms to simplify the resulting polynomial.

What does the 'First' step in the FOIL method involve?

• Multiplying the first terms of each binomial

• Multiplying the outer terms of each binomial

• Multiplying the inner terms of each binomial

• Multiplying the last terms of each binomial

In the 'Outer' step of the FOIL method, what do you do with the variables?

• Ignore them

• Place them next to each other in alphabetical order

• Multiply them directly

• Add their exponents

What is the result of multiplying the inner terms -4Y and 2X?

• -8XY

• -8

• -8X^2

• -8Y^2

What is the result of the 'Last' step in the FOIL method?

• -28XY

• -28

• -28X^2

• -28Y^2

After combining like terms, what is the final polynomial?

• 6X^2 + 21XY - 28Y^2

• 6X^2 + 13XY - 28Y^2

• 6X^2 + 21XY - 8XY

• 6X^2 + 13XY - 28X^2