Classifying, Adding, Subtracting, and Evaluating 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 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 the polynomial 4x^3 + 2x^2 - x, the degree is 3.

Front

How do you classify a polynomial with one term?

Back

A polynomial with one term is called a monomial. For example, 5x^2 is a monomial.

Front

How do you classify a polynomial with two terms?

Back

A polynomial with two terms is called a binomial. For example, 3x + 4 is a binomial.

Front

How do you classify a polynomial with three terms?

Back

A polynomial with three terms is called a trinomial. For example, x^2 + 2x + 1 is a trinomial.

Front

What is the result of (2a - 1) - (-5a - 5)?

Back

7a + 4

Front

What is the result of (x³ - 2x² + 3) + (2x³ + 3x² - 1)?

Back

3x³ + x² + 2

Front

What is the result of (4x² + x) - (x² + 2x)?

Back

3x² - x

Front

What is the result of (9v - 8w) - (8v - 9w)?

Back

v + w

Front

What is a cubic polynomial?

Back

A cubic polynomial is a polynomial of degree 3. It can be expressed in the form ax^3 + bx^2 + cx + d, where a, b, c, and d are constants and a ≠ 0.