Multiplying Polynomials and Exponents

This video tutorial covers the multiplication of polynomials, starting with basic concepts and moving to more complex examples. It explains the use of the distributive property, the FOIL method for binomials, and the box method for multiplying binomials with trinomials. The tutorial provides step-by-step examples and encourages students to practice on their own.

What is the primary method used to multiply polynomials?

• Subtraction

• Distributive Property

• Addition

• Division

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

• Add the coefficients

• Divide the trinomial by the monomial

• Distribute the monomial to each term of the trinomial

• Subtract the exponents

What is the result of multiplying -7 by the trinomial 7x^2 - x + 4?

• 49x^2 - 7x + 28

• -49x^2 + 7x - 28

• -49x^2 - 7x + 28

• 49x^2 + 7x - 28

How do you handle exponents when multiplying variables?

• Add the exponents

• Multiply the exponents

• Divide the exponents

• Subtract the exponents

What is the result of multiplying 2x by the trinomial 7x^2 - x + 4?

• 14x^3 - 2x^2 - 8x

• 14x^3 + 2x^2 + 8x

• 14x^3 + 2x^2 - 8x

• 14x^3 - 2x^2 + 8x

When using a different variable in the distributive property, what should you do with the exponents?

• Combine them

• Ignore them

• Write them in alphabetical order

• Subtract them

What is the result of multiplying 4y by the trinomial 7x^2 - x + 4?

• 28x^2y - 4xy - 16y

• 28x^2y + 4xy - 16y

• 28xy^2 - 4xy + 16y

• 28x^2y - 4xy + 16y

How do you handle multiple variables in polynomial multiplication?

• Keep them in alphabetical order

• Combine all variables

• Subtract the variables

• Ignore the variables

What is the result of multiplying 3a^2b by the trinomial 7b^3x^2 - 3bx + 4?

• 21a^2b^4x^2 - 9a^2b^2x + 12a^2b

• 21a^2b^3x^2 - 9a^2bx + 12a^2

• 21a^2b^4x^2 + 9a^2b^2x - 12a^2b

• 21a^2b^3x^2 + 9a^2bx - 12a^2

What does the 'F' in the FOIL method stand for?

• First

• Final

• Factor

• Fraction