Exploring Adding and Subtracting Polynomials

The video tutorial explains how to add and subtract polynomials by combining like terms. It provides examples of both operations, demonstrating the process of identifying and combining like terms. The tutorial also covers the method of changing signs when subtracting polynomials and presents different approaches to solve polynomial equations, including aligning like terms and distributing negative signs.

What is the first step in subtracting polynomials?

• Combine like terms directly

• Change all the signs of the polynomial being subtracted

• Divide the polynomials

• Multiply the polynomials

When adding polynomials, what is crucial to combine correctly?

• Unlike terms

• Only the highest degree terms

• Only the constant terms

• Like terms

What results from adding 2x squared and x squared?

• 4x squared

• 3x squared

• 2x squared

• x squared

What is the result of subtracting 2x from -5x?

• 7x

• -7x

• 3x

• -3x

What is the result of adding 7 and -1?

• 8

• -8

• 6

• -6

How do you find like terms in polynomials?

• By their coefficients

• By their degree

• By their variable part

• Both B and C

How do you handle the subtraction of polynomials in terms of sign?

• Only change the sign of the highest degree term

• Change the signs of the subtracted polynomial

• Change the signs of the polynomial being added

• Ignore the signs

In the subtraction of polynomials, what do you do after changing the signs?

• Divide each term by -1

• Combine unlike terms

• Combine like terms

• Multiply each term by -1

After distributing a negative sign in subtraction, what is the next step?

• Subtract the highest degree terms

• Combine like terms

• Add the polynomials

• Multiply the polynomials

What is the result of subtracting 8x squared from 5x squared?

• -3x squared

• 3x squared

• 13x squared

• -13x squared