Mastering Polynomial Multiplication with FOIL

What does the acronym FOIL stand for?

• First, Outer, Inverse, Least

• First, Outer, Inverse, Last

• First, Outer, Inner, Least

• First, Outer, Inner, Last

What is the purpose of the FOIL method?

• To add binomials

• To subtract binomials

• To multiply binomials

• To divide binomials

In the example, what is the result of the 'First' step when multiplying (x + 5)(x + 7)?

• x^2

• 5x

• 7x

• 35

What is the result of the 'Outer' step in the same example?

• x^2

• 5x

• 7x

• 35

What are like terms?

• Terms with different variables

• Terms with different coefficients

• Terms with the same coefficients

• Terms with the same variables raised to the same powers

In the intermediate example, what is the result of the 'First' step when multiplying (8 - u)(8 + u)?

• 64

• -8u

• 8u

• -u^2

What happens to the terms -8u and +8u in the intermediate example?

• They remain unchanged

• They combine to form 16u

• They cancel each other out

• They form a new term

In the final example, what is the result of the 'First' step when multiplying (2x - 4)(5y - 7)?

• -28

• 35y

• 10xy

• -8x

Do you have to follow the FOIL order strictly?

• Yes, always

• No, it's just a helpful acronym

• Yes, but only for certain problems

• No, it's not important

What is the final result of the example (2x - 4)(5y - 7) after combining all terms?

• 10xy + 8x - 35y + 28

• 10xy - 8x - 35y + 28

• 10xy - 8x + 35y - 28

• 10xy + 8x + 35y - 28