Exploring Adding and Subtracting Polynomials

This video tutorial covers the basics of adding and subtracting polynomials. It explains how to identify like terms, add or subtract coefficients, and maintain the power of terms. The tutorial includes examples of both addition and subtraction, demonstrating how to convert subtraction into addition by changing signs. Practice problems are provided to reinforce the concepts, and the video concludes with a review of mixed polynomial problems and final examples.

What are like terms in the context of polynomials?

• Terms with the same variable and the same power

• Terms with different variables and powers

• Terms with the same variable but different powers

• Terms with the same coefficient

How do you simplify the expression -x^2 + 2x^2?

• No simplification needed

• 3x^2

• -x^2

• x^2

What is the result of adding 11x and -5x?

• 5x

• 6x

• 16x

• -16x

How do you approach a subtraction problem in polynomials?

• By multiplying the coefficients

• By converting subtraction into addition of the opposite

• By dividing the polynomials

• By directly subtracting like terms

What is the simplified form of 4x^2 - 3x^2?

• x^2

• 7x^2

• -x^2

• 1x^2

What is the result of subtracting 7x from 5x?

• -12x

• 2x

• 12x

• -2x

After changing subtraction to addition, what is the next step?

• Combine like terms

• Change the coefficients

• Divide the polynomials

• Multiply the variables

What is the simplified form of 3M^2 - M^2?

• M^2

• 2M^2

• 4M^2

• -2M^2

How do you simplify the expression 8 - 15?

• 23

• 7

• -23

• -7

What is the result of adding -12R and -5R?

• 17R

• -17R

• 7R

• -7R