How to change the subtraction of two polynomials to addition

The video tutorial explains how to add and subtract polynomials by focusing on like terms, which must have the same base and exponent. It demonstrates converting subtraction problems into addition by changing signs and aligning terms vertically to combine them. The tutorial concludes with solving a polynomial problem by combining like terms and finalizing the solution.

What is necessary for terms to be considered 'like terms' in polynomial operations?

• They must be in the same polynomial.

• They must have the same base and exponent.

• They must be positive terms.

• They must have the same coefficient.

How can a subtraction problem be rewritten to simplify polynomial operations?

• By dividing both terms by 2.

• By adding zero to both terms.

• By multiplying both terms by -1.

• By changing the subtraction to addition and altering the signs.

When aligning polynomials vertically for addition, what is the key step?

• Aligning the terms alphabetically.

• Aligning the terms by their size.

• Aligning the coefficients.

• Aligning the terms with the same base and exponent.

What is the result of adding -X and -3X?

• -2X

• -4X

• 2X

• 4X

What is the final result of adding the polynomials X^3 - X + 1 and -3X + 1?

• X^3 - 3X + 2

• X^3 - 4X + 1

• X^3 - 2X + 2

• X^3 - 4X + 2