Combining Polynomials

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^2 + 3x - 5 is a polynomial.

Front

What does it mean to combine polynomials?

Back

Combining polynomials involves adding or subtracting polynomial expressions by combining like terms.

Tags

CCSS.HSA.APR.A.1

Front

What are like terms in polynomials?

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

Front

How do you add polynomials?

Back

To add polynomials, combine like terms by adding their coefficients.

Tags

CCSS.HSA.APR.A.1

Front

How do you subtract 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 degree of a polynomial?

Back

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

Front

What is a quadratic polynomial?

Back

A quadratic polynomial is a polynomial of degree 2, typically in the form ax^2 + bx + c, where a, b, and c are constants.

Front

What is a cubic polynomial?

Back

A cubic polynomial is a polynomial of degree 3, typically in the form ax^3 + bx^2 + cx + d, where a, b, c, and d are constants.

Front

What is a quintic polynomial?

Back

A quintic polynomial is a polynomial of degree 5, typically in the form ax^5 + bx^4 + cx^3 + dx^2 + ex + f, where a, b, c, d, e, and f are constants.

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.

Tags

CCSS.HSA.APR.C.4