Mastering Adding and Subtracting Polynomials

What does an understood 1 in front of parentheses indicate?

• The terms inside are to be divided by 1.

• The terms inside are to be multiplied by 1.

• The terms inside are to be subtracted by 1.

• The terms inside are to be added to 1.

How do you combine like terms in polynomials?

• By subtracting the exponents of similar terms.

• By multiplying the coefficients of similar terms.

• By adding the coefficients regardless of the variables.

• By ensuring the variables and their exponents match.

What is the result of combining 4x^2 and 2x^2?

• 2x^4

• 6x^2

• 8x

• 6x^4

What is the name of a polynomial with a degree of 2 and three terms?

• Cubic binomial

• Cubic trinomial

• Quadratic binomial

• Quadratic trinomial

What must be true for terms to be combined in polynomial operations?

• They must be in different polynomials.

• They must have the same variable and exponent.

• They must have different exponents.

• They must have the same coefficient.

Why is it important to write the answer of polynomial operations in standard form?

• To ensure the highest exponent is listed first.

• To make it easier to graph the polynomial.

• To simplify the addition of constants.

• To identify like terms more easily.

What happens to the signs of terms when subtracting polynomials?

• They all become negative.

• They are inverted.

• They remain unchanged.

• They all become positive.

What is the degree of a polynomial named cubic polynomial?

• 4

• 3

• 2

• 1

How do you determine the first name of a polynomial?

• By its number of terms

• By its highest exponent

• By its constant term

• By its coefficient

What is the significance of distributing a negative one in subtracting polynomials?

• It has no effect on the terms.

• It nullifies each term inside the parentheses.

• It doubles the value of each term.

• It changes the signs of the terms inside the parentheses.