Classifying, Adding and Subtracting 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 a polynomial based on the number of terms?

Back

Polynomials can be classified as monomials (1 term), binomials (2 terms), trinomials (3 terms), or polynomials with more than three terms.

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

How do you add 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

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

Back

The result is 3x^3 + 5.

Tags

CCSS.HSA.APR.A.1

Front

How do you classify the polynomial 4x^2 + 5x - 7?

Back

It is classified as a trinomial because it has three terms.

Front

What is a quadratic polynomial?

Back

A quadratic polynomial is a polynomial of degree 2, typically in the form ax^2 + bx + c.

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.

Front

How do you simplify the expression (4x - 2x^3) + (5x^3 - 4x + 5)?

Back

Combine like terms: -2x^3 + 5x^3 = 3x^3 and 4x - 4x = 0, so the simplified expression is 3x^3 + 5.

Tags

CCSS.HSA.APR.A.1