Polynomial Operations Review

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables (also called indeterminates) raised to non-negative integer powers and coefficients. For example, 2x^3 + 3x^2 - 5 is a polynomial.

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 - 7, the degree is 3.

Front

How do you add polynomials?

Back

To add polynomials, combine like terms. For example, (2x^2 + 3x) + (4x^2 - 2x) = (2x^2 + 4x^2) + (3x - 2x) = 6x^2 + x.

Tags

CCSS.HSA.APR.A.1

Front

How do you subtract polynomials?

Back

To subtract polynomials, distribute the negative sign and then combine like terms. For example, (5x^2 + 3) - (2x^2 + 4) = (5x^2 - 2x^2) + (3 - 4) = 3x^2 - 1.

Tags

CCSS.HSA.APR.A.1

Front

What is polynomial multiplication?

Back

Polynomial multiplication involves multiplying each term in one polynomial by each term in another polynomial and then combining like terms. For example, (x + 2)(x + 3) = x^2 + 3x + 2x + 6 = x^2 + 5x + 6.

Tags

CCSS.HSA.APR.A.1

Front

What is polynomial division?

Back

Polynomial division is the process of dividing one polynomial by another, similar to long division with numbers. For example, dividing 2x^3 + 5x^2 + 9 by x + 3.

Tags

CCSS.HSA.APR.D.6

Front

What is a monomial?

Back

A monomial is a polynomial with only one term, such as 3x^2 or -5y.

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms, such as x + 5 or 3x^2 - 2.

Front

What is a trinomial?

Back

A trinomial is a polynomial with exactly three terms, such as x^2 + 3x + 2.

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.

Tags

CCSS.6.EE.A.2B