Adding and Subtracting Polynomials Explained

What is essential for combining polynomials?

• They must be in the form of a fraction.

• They must have different bases.

• They must have the same base and exponent.

• They must have the same coefficient.

How do you simplify a subtraction problem with polynomials?

• By dividing each term.

• By multiplying the polynomials.

• By subtracting each term individually.

• By adding the opposite of each term in the second polynomial.

What is the result of combining 2x^2 and -3x^2?

• -5x^2

• -x^2

• 5x^2

• -1x^2

When combining like terms, what must be true about the terms?

• They have different exponents.

• They have the same base and exponent.

• They are both fractions.

• They have the same coefficient.

When subtracting polynomials, what is the first step?

• Rearrange the polynomials.

• Distribute the negative sign.

• Change subtraction to addition of the opposite.

• Combine like terms directly.

In polynomial operations, how is a subtraction sign treated?

• It is changed to multiplication.

• It is ignored.

• It remains unchanged.

• It is changed to addition of the opposite.

How do you handle fractions in polynomial operations?

• Combine them using common denominators.

• Ignore the denominators.

• Only add the numerators.

• Convert them to decimals.

What is the combined form of 7x^2 - 2x^2?

• 14x^2

• 9x^2

• 5x^2

• -5x^2

To find the perimeter of a shape using polynomials, you must:

• Subtract the sides.

• Multiply the sides.

• Divide the sides.

• Add the sides.

What is the first step in finding the area of a shaded region involving polynomials?

• Subtract the smaller area from the larger.

• Divide the larger area by the smaller.

• Multiply the two areas.

• Add the areas together.