Exploring Addition and Subtraction of Polynomials

This video tutorial covers the basics of polynomials, including definitions and types such as monomials, binomials, and trinomials. It explains how to determine the degree of a polynomial by identifying the largest exponent. The tutorial then focuses on adding and subtracting polynomials, emphasizing the importance of combining like terms and distributing negatives when subtracting. Through examples, the video demonstrates these operations, providing strategies for simplifying polynomial expressions.

What is a polynomial?

• A single number

• A product of terms

• A combination of variables and constants

• A sum or difference of multiple terms

What do we call a polynomial with only one term?

• Trinomial

• Binomial

• Monomial

• Quadrinomial

How many terms does a trinomial have?

• Three

• Two

• One

• Four

What is the degree of the polynomial 3x^5 + 2x^3 + 7x?

• 5

• 2

• 3

• 7

How do you determine the degree of a polynomial?

• By the sum of the exponents

• By the highest exponent

• By the number of variables

• By the number of terms

What is the result of adding the polynomials 2x + 3 and 3x - 1?

• 6x - 2

• 6x + 2

• 5x + 2

• 5x - 2

When combining like terms, what happens to the exponents?

• They are added together

• They are subtracted

• They are multiplied

• They remain the same

What is the first step in subtracting polynomials?

• Combine like terms

• Distribute the negative sign

• Multiply the terms

• Add the constants

What is the result of subtracting the polynomials 2x + 3 and 3x - 1?

• x - 4

• -x - 4

• x + 4

• -x + 4

What is the simplified form of the polynomial subtraction (4x^2 - 3x + 2) - (2x^2 - x + 5)?

• 2x^2 - 2x + 7

• 2x^2 - 2x - 3

• 6x^2 - 4x - 3

• 6x^2 - 4x + 7