Combining and Factoring Polynomials FLASHCARD

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 variable raised to the same power. They can be combined by adding or subtracting their coefficients.

Tags

CCSS.6.EE.A.2B

Front

How do you combine like terms?

Back

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

Tags

CCSS.7.EE.A.1

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 a monomial?

Back

A monomial is a polynomial with only one term.

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms.

Front

What is a trinomial?

Back

A trinomial is a polynomial with exactly three terms.

Front

How do you factor a polynomial?

Back

Factoring a polynomial involves expressing it as a product of its factors, which can include numbers, variables, or other polynomials.

Front

What is the difference between combining and factoring polynomials?

Back

Combining polynomials involves simplifying by adding or subtracting like terms, while factoring involves rewriting the polynomial as a product of simpler expressions.

Front

What is the process for subtracting polynomials?

Back

To subtract polynomials, distribute the negative sign to each term in the polynomial being subtracted, then combine like terms.

Tags

CCSS.HSA.APR.A.1