Adding and Subtracting Polynomials Explained

This video tutorial covers the process of adding and subtracting polynomials. It begins with an introduction to the topic and instructions for organizing notes. The tutorial then provides detailed steps and examples for both adding and subtracting polynomials, emphasizing the importance of combining like terms and writing answers in standard form. The video includes challenge problems to test understanding and concludes with assignments and extra credit opportunities for further practice.

What is the first step in adding polynomials?

• Rearrange the terms randomly

• Distribute the negative sign

• Ignore the parentheses and add like terms

• Combine like terms immediately

What does it mean to write polynomials in standard form?

• Arrange terms from greatest to least by degree

• Only combine like terms

• Arrange terms randomly

• Arrange terms from least to greatest degree

When adding polynomials, what should you do with the exponents?

• Subtract them

• Multiply them

• Ignore them

• Add them if they are like terms

What is the correct way to handle the constants when adding polynomials?

• Ignore them

• Add them together

• Multiply them

• Subtract them from each other

How do you handle subtraction of polynomials?

• Distribute the negative to the second polynomial

• Ignore the negative sign and subtract

• Add the polynomials without changes

• Multiply the terms directly

In the context of polynomial operations, what does distributing the negative involve?

• Dividing each term by -1

• Ignoring the negative signs

• Adding a negative sign to each term

• Multiplying each term by -1

In subtraction, after distributing the negative, what is the next step?

• Add like terms

• Combine unlike terms

• Rearrange the polynomial in ascending order

• Subtract the highest degree terms only

What should you do first when faced with a polynomial subtraction problem?

• Convert all terms to positive

• Distribute the negative across the second polynomial

• Simplify each polynomial separately

• Combine like terms

What is the final step after distributing negatives and combining like terms in polynomial subtraction?

• Rewrite the polynomial in standard form

• Check for any possible multiplication

• Separate the terms further

• None of the above

What is the result when you combine -7x squared and -2x squared?

• 9x squared

• -9x squared

• 5x squared

• -5x squared