Adding & 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 is the degree of a polynomial?

Back

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

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, distribute the negative sign and then combine like terms.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power.

Front

Simplify: (3x + 2) + (4x - 5)

Back

7x - 3

Front

Simplify: (2x^2 + 3x - 4) - (x^2 + 2x + 1)

Back

x^2 + x - 5

Front

What is the perimeter of a rectangle with length x and width y?

Back

The perimeter P is given by P = 2(x + y).

Front

What is the perimeter of a triangle with sides a, b, and c?

Back

The perimeter P is given by P = a + b + c.

Front

What is the coefficient in the polynomial 5x^3 + 2x^2 - 7?

Back

The coefficient of x^3 is 5, the coefficient of x^2 is 2, and the constant term is -7.