Adding and Subtracting Polynomials

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

What are like terms?

Back

Like terms are terms in a polynomial that have the same variables raised to the same powers.

Front

How do you add polynomials?

Back

To add polynomials, combine like terms by adding their coefficients.

Front

How do you subtract polynomials?

Back

To subtract polynomials, change the signs of the terms in the polynomial being subtracted and then combine like terms.

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.

Front

What is the result of (3x + 2) + (5x - 4)?

Back

8x - 2

Front

What is the result of (2a^2 + 3a - 5) - (a^2 + 4a + 1)?

Back

a^2 - a - 6

Front

What is the perimeter of a triangle with sides 3x, 4x, and 5x?

Back

12x

Front

What is the result of (x^2 + 2x + 3) + (3x^2 - x + 4)?

Back

4x^2 + x + 7