Polynomial Operations

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

Front

What are the degrees of polynomials?

Back

The degree of a polynomial is the highest power of the variable in the expression. For example, in the polynomial 4x^3 + 2x^2 - x + 5, the degree is 3.

Front

How do you simplify a polynomial expression?

Back

To simplify a polynomial expression, combine like terms by adding or subtracting their coefficients.

Tags

CCSS.7.EE.A.1

Front

What is the process for adding polynomials?

Back

To add polynomials, align like terms and combine their coefficients.

Tags

CCSS.HSA.APR.A.1

Front

What is the process for subtracting polynomials?

Back

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

Tags

CCSS.HSA.APR.A.1

Front

What is the distributive property in polynomial operations?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term in a polynomial.

Tags

CCSS.6.EE.A.3

Front

How do you multiply two polynomials?

Back

To multiply two polynomials, use the distributive property or the FOIL method for binomials, multiplying each term in the first polynomial by each term in the second.

Tags

CCSS.HSA.APR.A.1

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms, such as 3x + 4.

Front

What is a trinomial?

Back

A trinomial is a polynomial with exactly three terms, such as x^2 + 5x + 6.

Front

What is the perimeter of a rectangle in terms of polynomials?

Back

The perimeter P of a rectangle with length l and width w is given by P = 2l + 2w, which can be expressed as a polynomial.

Tags

CCSS.7.EE.A.1