Simplifying 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 does it mean to simplify a polynomial?

Back

To simplify a polynomial means to combine like terms and express the polynomial in its simplest form.

Front

What is a like term?

Back

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

Front

What is the standard form of a polynomial?

Back

The standard form of a polynomial is when the terms are arranged in descending order of their exponents.

Front

What is the degree of a polynomial?

Back

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

Front

What is the zero exponent rule?

Back

Any non-zero number raised to the power of zero is equal to 1.

Front

How do you combine like terms in a polynomial?

Back

To combine like terms, add or subtract the coefficients of the terms that have the same variable and exponent.

Front

What is the result of subtracting polynomials?

Back

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

Front

What is the product of two polynomials?

Back

The product of two polynomials is found by multiplying each term in the first polynomial by each term in the second polynomial.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by multiple terms inside parentheses.