Understanding Polynomials and Operations

The video tutorial explains how to multiply a binomial by another binomial. It begins with an introduction to binomials and the importance of understanding the distributive property. The tutorial then covers the multiplication of monomials, emphasizing the addition of exponents when bases are the same. The instructor demonstrates applying these rules to multiply binomials, followed by combining like terms and arranging the result in standard form. The final product is a trinomial, and the video concludes with a reminder to use standard form for clarity.

What is a binomial?

• An expression with three terms

• A single term expression

• An expression with four terms

• An expression with two terms

What does the distributive property state?

• You subtract the terms inside the parentheses

• You multiply the term outside the parentheses by each term inside

• You add the terms inside the parentheses

• You multiply the terms inside the parentheses by each other

When multiplying monomials with the same base, what do you do with the exponents?

• Subtract the exponents

• Multiply the exponents

• Add the exponents

• Divide the exponents

In the example, what is the result of multiplying 3 by -5?

• 8

• 15

• -15

• 0

What is the result of multiplying m by m?

• m

• m^3

• m^2

• 2m

What is the result of combining 3m and -5m?

• 8m

• -8m

• -2m

• 2m

What is the standard form of a polynomial?

• Terms arranged alphabetically

• Terms arranged in random order

• Terms arranged in descending order of degree

• Terms arranged in ascending order of degree

What is the degree of the polynomial m^2 - 2m - 15?

• 0

• 3

• 1

• 2

What type of polynomial is produced by multiplying two binomials?

• Binomial

• Trinomial

• Monomial

• Quadrinomial

Which of the following is a like term to 3m?

• 15

• -5m

• 3

• m^2