Adding and Simplifying Polynomials

The video tutorial explains how to add polynomials by following simple rules. It provides two examples, demonstrating the process of dropping parentheses and combining like terms to simplify the sum of polynomials. The tutorial emphasizes the importance of identifying like terms and combining their coefficients to achieve a final simplified polynomial.

What is the first step in adding two polynomials?

• Drop the parentheses

• Identify like terms

• Subtract the polynomials

• Multiply the coefficients

In the example x^2 + 5 and 3x - 7, what is the result after dropping the parentheses?

• x^2 + 3x - 7

• x^2 + 3x + 5 - 7

• 3x + 5 - 7

• x^2 + 5 + 3x - 7

Why can we drop the parentheses when adding polynomials?

• Because they are multiplied

• Because they are subtracted

• Because they are added

• Because they are divided

What should you do after dropping the parentheses in polynomial addition?

• Multiply the terms

• Combine like terms

• Divide the terms

• Subtract the terms

In the example x^2 + 5 and 3x - 7, what is the simplified result?

• x^2 + 3x - 2

• x^2 + 3x + 2

• x^2 + 3x + 12

• x^2 + 3x - 12

What is the result of combining the constants 5 and -7?

• 2

• 12

• -2

• -12

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

• 2

• 0

• 1

• 3

What is the coefficient of the x term in the polynomial x^2 + 3x - 2?

• 3

• 0

• 2

• 1

What is the constant term in the polynomial x^2 + 3x - 2?

• -3

• 3

• -2

• 2

What is the first step in the second example of polynomial addition?

• Subtract the polynomials

• Multiply the polynomials

• Divide the polynomials

• Drop the parentheses