Mastering Multiplication of Monomials and Binomials

This video tutorial covers the multiplication of polynomials, focusing on the distribution method and the FOIL method. It begins with an introduction to polynomials, including monomials, binomials, and trinomials. The tutorial then demonstrates how to multiply a monomial with a trinomial, followed by the multiplication of binomials using distribution. The FOIL method is introduced as a shortcut for multiplying two binomials. The video emphasizes the importance of combining like terms and writing the final expression in standard form.

What does the term 'distribute' mean in the context of polynomials?

• Dividing polynomials

• Multiplying polynomials together

• Subtracting polynomials

• Adding polynomials together

What is the result of multiplying 12x^2 by 2x^2?

• 12x^6

• 12x^4

• 24x^4

• 24x^2

When multiplying a monomial by a trinomial, what should you do with the exponents?

• Subtract the exponents

• Add the exponents

• Multiply the exponents

• Divide the exponents

What is the first step in multiplying the binomials (x + 8) and (x - 7)?

• Add the terms

• Multiply the first terms

• Multiply the constants

• Subtract the terms

What is the result of multiplying x by -7 in the binomials (x + 8) and (x - 7)?

• -7x

• 8x

• 7x

• -8x

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

• Fraction

• Function

• Factor

• First

Which terms are considered the 'outside' terms in the FOIL method?

• The terms on the outermost ends of the binomials

• The terms in the middle of the binomials

• The last terms in each binomial

• The first terms in each binomial

What is the result of multiplying the 'inside' terms in the FOIL method for (x + 8) and (x - 7)?

• 8x

• -7x

• x^2

• 56

What is the product of 2x and 5x in the binomials (2x + 3) and (5x + 1)?

• 7x

• 15x

• 10x

• 10x^2

What is the final step after applying the FOIL method to ensure the polynomial is in standard form?

• Add the coefficients

• Multiply the exponents

• Subtract the constants

• Combine like terms