Alg 2 Unit 3 Polynomial Operations

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents. For example, 3x^2 + 2x - 5 is a polynomial.

Front

What does it mean to simplify a polynomial?

Back

Simplifying a polynomial means combining like terms and expressing the polynomial in its simplest form, usually in standard form (highest degree first).

Front

What is standard form of a polynomial?

Back

The standard form of a polynomial is when it is written in descending order of the degree of its terms. For example, 4x^3 + 2x^2 - x + 5.

Front

How do you add polynomials?

Back

To add polynomials, combine like terms by adding their coefficients. For example, (3x^2 + 2x) + (4x^2 + 5) = 7x^2 + 2x + 5.

Front

How do you subtract polynomials?

Back

To subtract polynomials, distribute the negative sign to the second polynomial and then combine like terms. For example, (3x^2 + 2x) - (4x^2 + 5) = -x^2 + 2x - 5.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It is used to multiply a single term by a polynomial.

Front

How do you multiply polynomials?

Back

To multiply polynomials, use the distributive property or the FOIL method for binomials. For example, (x + 2)(x + 3) = x^2 + 5x + 6.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the expression. For example, in 4x^3 + 2x^2 - x, the degree is 3.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x^2 and 5x^2 are like terms.

Front

What is the perimeter of a rectangle in terms of its length (l) and width (w)?

Back

The perimeter P of a rectangle is given by the formula P = 2l + 2w.