Adding & Subtracting 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, 3x^2 + 2x - 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 - x + 7, the degree is 3.

Front

What is the difference between a monomial, binomial, and trinomial?

Back

A monomial has one term (e.g., 3x), a binomial has two terms (e.g., 3x + 2), and a trinomial has three terms (e.g., 3x^2 + 2x + 1).

Front

How do you add polynomials?

Back

To add polynomials, combine like terms by adding their coefficients. For example, (2x^2 + 3x) + (4x^2 + 5) = (2x^2 + 4x^2) + 3x + 5 = 6x^2 + 3x + 5.

Front

How do you subtract polynomials?

Back

To subtract polynomials, distribute the negative sign and then combine like terms. For example, (3x^2 + 4) - (2x^2 + 1) = (3x^2 - 2x^2) + (4 - 1) = x^2 + 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 and a ≠ 0.

Front

What is a linear polynomial?

Back

A linear polynomial is a polynomial of degree 1, typically in the form ax + b, where a and b are constants and a ≠ 0.

Front

What is the standard form of a polynomial?

Back

The standard form of a polynomial is written in descending order of the degree of its terms. For example, 4x^3 + 3x^2 - 2x + 1 is in standard form.

Front

How do you classify polynomials?

Back

Polynomials can be classified by the number of terms (monomial, binomial, trinomial) or by their degree (linear, quadratic, cubic, etc.).

Front

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

Back

The result is 6x^2 + 3x + 5.