Adding and Subtracting Polynomials Explained

This video tutorial covers the basics of polynomials, including definitions, like terms, and the degree of terms and polynomials. It explains how to write polynomials in standard form and demonstrates techniques for adding and subtracting polynomials. The tutorial emphasizes understanding the structure of polynomials and the importance of combining like terms.

What is a term in an algebraic expression?

• A variable or the sum of numbers

• A number or a variable only

• A product of two variables

• A number, a variable, or the product of a number and one or more variables

What is the coefficient in the term 3x^5?

• x

• 5

• 3

• 15

Which of the following are like terms?

• 4x^3 and 4x^2

• 3x^4y^2 and 9x^4y^2

• 5x^2 and -7x^3

• 2x and 2y

What is a polynomial?

• A single term or the sum of a finite number of terms

• A single term only

• An infinite series of terms

• The product of two terms

Which of the following is a monomial?

• 3x^2 + 2x

• 5x^3

• 7x^2 - 4

• x^2 + y^2

What is the degree of the term 7x^4?

• 7

• 1

• 11

• 4

How do you determine the degree of a polynomial?

• By adding the coefficients of all terms

• By finding the largest degree of any term

• By counting the number of terms

• By multiplying the exponents of all terms

What is the standard form of the polynomial 3x + 7x^2 - 5x^5?

• -5x^5 + 7x^2 + 3x

• 3x + 7x^2 - 5x^5

• 7x^2 - 5x^5 + 3x

• 5x^5 - 7x^2 + 3x

How do you add polynomials?

• By subtracting the exponents

• By dividing the terms

• By combining like terms

• By multiplying the coefficients

What is the result of subtracting (5p^2 - 4p) - (p + p^2)?

• 6p^2 - 5p

• 5p^2 - 3p

• 4p^2 - 3p

• 4p^2 - 5p