Exploring Adding and Subtracting Polynomials

What are like terms in the context of polynomials?

• Terms with different exponents

• Terms with the same variable and exponent

• Terms with different variables

• Terms with the same coefficient

How do you add polynomials?

• Combine unlike terms

• Subtract the coefficients

• Add the coefficients of like terms

• Multiply the coefficients

What is the first step in subtracting polynomials?

• Add the polynomials

• Distribute the negative sign

• Combine like terms directly

• List all terms separately

When subtracting polynomials, what does distributing the negative affect?

• Only the constants

• It does not affect any terms

• Only the highest degree terms

• All terms within the polynomial

What is the result of adding 3x cubed and 5x cubed?

• 2x cubed

• 8x cubed

• 15x cubed

• 8x to the sixth

How do you handle constants when adding polynomials?

• Subtract them

• Ignore them

• Add them together

• Multiply them

What is the result of subtracting 7x to the fourth from 6x to the fourth?

• 13x to the fourth

• -x to the fourth

• x to the eighth

• 1x to the fourth

In the context of polynomial subtraction, what does 'distribute the negative' typically mean?

• Add a negative sign to each term

• None of the above

• Subtract each term from zero

• Multiply each term by -1

What is the perimeter of a triangle with sides represented by 5x + 13, 8x - 2, and 3x + 10?

• 15x + 21

• 15x + 25

• 16x + 21

• 16x + 25

How do you find the perimeter of a figure in polynomial terms?

• Divide each term by the number of sides

• Subtract the lengths of all sides

• Add the expressions representing each side

• Multiply the expressions