Polynomial Operations and Subtraction

This video tutorial covers the addition and subtraction of polynomials. It begins with an introduction to combining like terms for addition, followed by a detailed explanation of how to handle subtraction by changing signs. The tutorial includes several examples and practice problems to reinforce the concepts. It concludes with a discussion on common mistakes and how to correct them, ensuring a comprehensive understanding of polynomial operations.

What is the result of adding the polynomials 11x + x^2 + 133 and 2x^2 - 23 - 5x?

• 2x^2 + 6x + 110

• x^2 + 6x - 10

• x^2 + 6x + 110

• 3x^2 + 6x + 110

When subtracting polynomials, what must you do with the signs of the terms in the second polynomial?

• Leave them unchanged

• Change them to the opposite sign

• Add 1 to each coefficient

• Double them

What is the result of subtracting the polynomials 4x^2 + 5x and 7x + 3x^2 + 1?

• x^2 - 2x - 1

• x^2 + 2x - 1

• x^2 - 2x + 1

• x^2 + 2x + 1

How do you combine the like terms in the expression 4x + 4x - 7 - 7?

• 8x - 14

• 8x + 14

• 8x - 7

• 0

What is the result of adding k^2 - 4k + 7 and k^2 + 9k - 3?

• 2k^2 - 5k + 4

• 2k^2 + 5k - 4

• 2k^2 + 5k + 4

• 2k^2 - 5k - 4

What is the result of subtracting 3x^2 - 5x from x^2 + 17x?

• -2x^2 + 12x

• 2x^2 + 12x

• -2x^2 - 12x

• 2x^2 - 12x

What is the result of the expression 5r - 2 - 9r + 11?

• 4r + 9

• -4r + 9

• 4r - 9

• -4r - 9

What binomial must be added to 3x + 8 to get 5x - 14?

• -2x - 22

• 2x + 22

• 2x - 22

• -2x + 22

What mistake did Mrs. Willet make when subtracting polynomials?

• She forgot to combine like terms.

• She added the polynomials instead.

• She did not distribute the negative sign to all terms.

• She multiplied the polynomials.

What is the correct result of subtracting 3x^2 + 9 - 9x from 11x + 8x^2?

• 5x^2 - 2x - 9

• 5x^2 - 2x + 9

• 5x^2 + 2x - 9

• 5x^2 + 2x + 9