Adding, Subtracting, Multiplying and Dividing Polynomials

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication. For example, 2x^2 + 3x - 5 is a polynomial.

Front

What does it mean to add polynomials?

Back

Adding polynomials involves combining like terms, which are terms that have the same variable raised to the same power.

Front

What is the process of subtracting polynomials?

Back

Subtracting polynomials involves changing the signs of the terms in the polynomial being subtracted and then combining like terms.

Front

How do you multiply polynomials?

Back

To multiply polynomials, use the distributive property (also known as the FOIL method for binomials) to multiply each term in the first polynomial by each term in the second polynomial.

Front

What is the result of multiplying (x + 2)(x + 3)?

Back

The result is x^2 + 5x + 6.

Front

What is the formula for squaring a binomial?

Back

The formula for squaring a binomial (a + b)^2 is a^2 + 2ab + b^2.

Front

What is the result of (p - 8)^2?

Back

The result is p^2 - 16p + 64.

Front

What does it mean to divide polynomials?

Back

Dividing polynomials involves finding how many times one polynomial can fit into another, often using long division or synthetic division.

Front

What is synthetic division?

Back

Synthetic division is a simplified form of polynomial long division that is used when dividing by a linear factor.

Front

What is a like term?

Back

Like terms are terms in a polynomial that have the same variable raised to the same power, such as 3x^2 and 5x^2.