Classifying, Adding, Subtracting, and Multiplying Polynomials

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

Front

What is the standard form of a polynomial?

Back

The standard form of a polynomial is when the terms are arranged in descending order of their degrees.

Front

Classify the polynomial: 4x^2 + 5x - 7

Back

Trinomial (it has three terms).

Front

Classify the polynomial: -3x^2 + 17

Back

Binomial (it has two terms).

Front

Classify the polynomial: 5x^11

Back

Monomial (it has one term).

Front

What is the leading coefficient of a polynomial?

Back

The leading coefficient is the coefficient of the term with the highest degree in the polynomial.

Front

Determine the leading coefficient of the polynomial: 4x^2 + 3x - 2

Back

4 (the coefficient of the highest degree term, which is x^2).

Front

What is a monomial?

Back

A monomial is a polynomial with only one term.

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms.

Front

What is a trinomial?

Back

A trinomial is a polynomial with exactly three terms.