All Polynomials: classify, add, subtract, multiply

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, 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: 3x^4 - 2x^3 + x - 5.

Back

This is a quartic polynomial (degree 4) and a polynomial with four terms (a polynomial of degree 4 with four terms is called a quartic 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.

Front

How do you add polynomials?

Back

To add polynomials, combine like terms by adding their coefficients.

Front

How do you subtract polynomials?

Back

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

Front

What is the product of (x + 2)(x - 3)?

Back

The product is x^2 - x - 6.

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.