Exploring Adding and Subtracting Polynomials

The video tutorial covers the basics of polynomials, including definitions of monomials, binomials, and trinomials. It explains how to determine the degree of a polynomial and categorize it as linear, quadratic, cubic, or quartic. The tutorial also demonstrates how to identify polynomial types and degrees, write polynomials in standard form, and find the leading coefficient. Additionally, it provides guidance on adding and subtracting polynomials by combining like terms and ensuring the result is in standard form.

What is a polynomial with only one term called?

• Monomial

• Binomial

• Trinomial

• Polynomial

What type of polynomial is represented by the expression 3x^2 - 8x + 9?

• Linear

• Quadratic

• Cubic

• Quartic

If a polynomial's highest degree is three, what is it called?

• Quartic

• Cubic

• Quadratic

• Linear

Which term describes a polynomial that is not a monomial, binomial, or trinomial?

• Multinomial

• Polynomial

• Nonomial

• Uninomial

What is the degree of a polynomial 5d^4?

• 4

• 5

• 3

• 2

What is the leading coefficient in the polynomial 3x^3 - 4x^2 + 7x?

• 3

• 7

• -4

• 4

How do you find the sum of the polynomials 7y^2 + 2y - 3 and 5y^2 - 4y + 2?

• By combining like terms

• By dividing each term

• By subtracting each term

• By multiplying like terms

What is the result of subtracting 9y^4 - 7 + 2y^2 from 8y^4 + 6y^2 + 7?

• -y^4 + 4y^2 + 14

• -y^4 + 4y^2 - 14

• y^4 - 4y^2 + 14

• y^4 + 4y^2 - 14

What happens to the terms inside the parentheses when finding the difference of two polynomials?

• They are squared

• They are halved

• They are negated

• They are doubled

What is the correct standard form of a polynomial?

• Terms arranged from lowest to highest degree

• Terms arranged randomly

• Terms arranged from highest to lowest degree

• Only the highest degree term is shown