Adding Polynomials

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

How do you classify polynomials by the number of terms?

Back

Polynomials can be classified as monomials (1 term), binomials (2 terms), or trinomials (3 terms), and so on.

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 the process of adding polynomials?

Back

To add polynomials, combine like terms by adding their coefficients while keeping the variable part the same.

Tags

CCSS.HSA.APR.A.1

Front

What are like terms in a polynomial?

Back

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

Tags

CCSS.6.EE.A.2B

Front

How do you simplify the expression (4a^3 - 8a - 4a^2) + (7a^3 - 7 - 6a)?

Back

Combine like terms to get 11a^3 - 4a^2 - 14a - 7.

Tags

CCSS.HSA.APR.A.1

Front

What is the result of adding (x³-6x²+3) and (3x³+4x-1)?

Back

The result is 4x³ - 6x² + 4x + 2.

Tags

CCSS.HSA.APR.A.1

Front

How do you subtract polynomials?

Back

To subtract polynomials, change the sign of the terms in the polynomial being subtracted and then combine like terms.

Tags

CCSS.HSA.APR.A.1

Front

What is the result of (4x^3 - 5x^2 + 3x) + (-2x^3 - x^2 + 6x)?

Back

The result is 2x^3 - 6x^2 + 9x.

Tags

CCSS.HSA.APR.A.1

Front

What is a coefficient in a polynomial?

Back

A coefficient is a numerical factor that multiplies a variable in a term of a polynomial.

Tags

CCSS.6.EE.A.2B