Exploring Polynomial Operations: Addition, Subtraction, and Multiplication

What is a polynomial made up of?

• Only constants

• Only variables

• Different monomials

• Different binomials

When adding polynomials vertically, what should you ensure?

• All terms are constants

• All terms are variables

• All terms are like terms

• All terms are different

What is the first step in adding polynomials horizontally?

• Combine like terms

• Subtract the coefficients

• Distribute the sign in front of the parentheses

• Add the constants

How do you identify like terms in polynomials?

• By their parentheses

• By their constants

• By their variables and exponents

• By their coefficients

What is the first step in subtracting one polynomial from another?

• Distribute the positive sign

• Combine like terms

• Change the sign of each term of the subtracted polynomial

• Add the coefficients

What is the result of subtracting 2x squared from 3x squared?

• Negative x squared

• 5x squared

• x squared

• Negative 5x squared

When multiplying polynomials, what must you do?

• Combine like terms first

• Subtract the constants

• Add the coefficients

• Multiply each term of the first polynomial by each term of the second polynomial

Which method is preferred by the narrator for multiplying polynomials?

• Horizontal method

• Box method

• None of the above

• Vertical method

What is the volume formula used in the final example?

• Length / Width / Height

• Length - Width - Height

• Length + Width + Height

• Length x Width x Height

What is the final step in the box method for finding volume?

• Combine the terms

• Add the coefficients

• Multiply the constants

• Identify like terms