Mastering Polynomial Multiplication Techniques

What does the product rule state when multiplying two terms with the same base?

• Add the exponents

• Multiply the exponents

• Divide the exponents

• Subtract the exponents

What is the result of multiplying h by 4h?

• 4h

• h^2

• 4h^2

• h^4

When using the distributive property, what do you do with the term outside the parentheses?

• Divide it by each term inside

• Subtract it from each term inside

• Add it to each term inside

• Multiply it by each term inside

What does FOIL stand for in the context of multiplying binomials?

• First, Outer, Inner, Last

• First, Outer, Inner, Least

• First, Outside, Inner, Last

• First, Outer, Inside, Last

In the FOIL method, what does the 'O' represent?

• First terms

• Outer terms

• Inner terms

• Last terms

What is the result of multiplying (x + 2)(x + 4) using the FOIL method?

• x^2 + 6x + 8

• x^2 + 8x + 8

• x^2 + 4x + 8

• x^2 + 6x + 4

How do you handle negative signs when using the FOIL method?

• Add them to the result

• Subtract them from the result

• Multiply them as usual

• Ignore them

What is the result of (3y + 1)(3y + 2) using the FOIL method?

• 9y^2 + 5y + 2

• 9y^2 + 6y + 2

• 9y^2 + 5y + 1

• 9y^2 + 6y + 1

What is the result of (2m - 5)^2?

• 4m^2 - 20m + 25

• 4m^2 - 10m + 25

• 4m^2 - 20m - 25

• 4m^2 - 10m - 25

What is the result of y(y^2 + 2y + 4) + 1(y^2 + 2y + 4)?

• y^3 + 2y^2 + 4y + 4

• y^3 + 3y^2 + 6y + 4

• y^3 + 2y^2 + 6y + 4

• y^3 + 3y^2 + 4y + 4