Adding and Subtracting Polynomials: Understanding Monomials, Degrees, and Classifying Polynomials

The video tutorial covers the basics of polynomials, including understanding monomials, their degrees, and how to classify polynomials. It also explains how to add and subtract polynomials using vertical and horizontal methods. The tutorial emphasizes the importance of identifying like terms and using standard form for polynomials.

Which of the following is a monomial?

• X + 7

• 4^X

• 5 / X

• 6XY

What is the degree of the monomial 1/2 XY?

• 0

• 1

• 2

• 3

How many terms does a trinomial have?

• 1

• 4

• 2

• 3

What is the leading coefficient of the polynomial X^3 + 3X - 2?

• 3

• 2

• 4

• 1

What is the degree of the polynomial 7X^4 + 3X^2?

• 5

• 4

• 3

• 2

In the vertical method of adding polynomials, what is the first step?

• Subtract the terms

• Multiply the terms

• Line up like terms

• Divide the terms

What is the sum of 9X^2 + 2X + 8 and 2X^2 + 3X + 11?

• 11X^2 + 5X + 19

• 10X^2 + 5X + 19

• 11X^2 + 6X + 19

• 11X^2 + 5X + 21

When subtracting polynomials, what does 'opposite, opposite, opposite' refer to?

• Dividing the terms

• Changing the signs of the terms

• Adding the terms

• Multiplying the terms

What is the result of subtracting 4X^2 + X + 8 from 2X^2 + 3X + 6?

• -3X^2 + 4X + 2

• -2X^2 + 2X - 2

• -2X^2 + 4X - 2

• -3X^2 + 4X - 2

Which method is generally easier for subtracting polynomials?

• Horizontal method

• None of the above

• Diagonal method

• Vertical method