8-5 Adding and Subtracting Polynomials B

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

Front

How do you add polynomials?

Back

To add polynomials, combine like terms by adding their coefficients while keeping the variable part the same.

Front

How do you subtract polynomials?

Back

To subtract polynomials, distribute the negative sign to the second polynomial and then combine like terms.

Front

What are like terms in a polynomial?

Back

Like terms are terms that have the same variable raised to the same power, allowing their coefficients to be combined.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the expression.

Front

What is the coefficient in a polynomial?

Back

A coefficient is a numerical factor in a term of a polynomial, representing how many times the variable is multiplied.

Front

What is the result of adding (n^2 + 3n) and (2n^2 - n)?

Back

The result is 3n^2 + 2n.

Front

What is the result of subtracting (2a - 5) from (3a + 1)?

Back

The result is -a - 6.

Front

How do you represent the value of dimes and nickels in a polynomial?

Back

The value can be represented as 0.1d + 0.05n, where d is the number of dimes and n is the number of nickels.

Front

What is the result of subtracting (9t^2 + 4t - 6) from (t^2 - 2t + 4)?

Back

The result is 8t^2 + 6t - 10.