Polynomial Operations and Classifications

The video tutorial covers the basics of polynomials, including their definition, classification based on the number of terms and degree, and operations such as addition, subtraction, multiplication, and division. It explains how to identify like terms and perform operations step-by-step, including synthetic and linear division methods.

What is a polynomial?

• An expression with variables and constants with integral powers

• An expression with only variables

• An expression with variables and constants with non-integral powers

• An expression with only constants

Which of the following is NOT a polynomial?

• 3x^2 + 2x + 1

• x^3 - 4x + 5

• x^(1/2) + 2

• 5x^4 + 3x^3

How are polynomials classified based on the number of terms?

• Simple, Complex, Compound

• Constant, Linear, Quadratic

• Linear, Quadratic, Cubic

• Monomial, Binomial, Trinomial

What is a polynomial with a degree of 2 called?

• Linear

• Cubic

• Quadratic

• Quartic

What is the degree of the polynomial 4x^3 + 3x^2 + x + 5?

• 3

• 4

• 2

• 1

What is the first step in adding polynomials?

• Divide the terms

• Combine like terms

• Multiply the coefficients

• Subtract the constants

When adding polynomials, what are 'like terms'?

• Terms with the same coefficients

• Terms with different powers

• Terms with the same variables and powers

• Terms with different variables

What is the key step in subtracting polynomials?

• Multiplying the terms

• Dividing the terms

• Changing the signs of the second polynomial

• Adding the coefficients

In subtraction, why is it important to use brackets?

• To keep the terms organized

• To change the signs of the terms

• To multiply the terms

• To divide the terms

What is the first step in multiplying polynomials?

• Subtract the terms

• Divide the terms

• Add the coefficients

• Distribute each term of the first polynomial