Polynomials: Classifying, Adding, Subtracting

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

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.

Front

How do you classify a polynomial by its degree?

Back

The degree of a polynomial is the highest exponent of its variable. For example, a polynomial with a highest exponent of 2 is a quadratic polynomial.

Front

What is the degree of the polynomial 4x^3 + 2x^2 - x + 5?

Back

The degree is 3, making it a cubic polynomial.

Front

What is the sum of (5x + 2) + (4x + 5)?

Back

The sum is 9x + 7.

Front

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

Back

The result is 2x^2 - 2x.

Front

Classify the polynomial 2x^4 + 3x^3 - x + 7.

Back

It is a quartic polynomial because the highest degree is 4.

Front

What is a quartic polynomial?

Back

A quartic polynomial is a polynomial of degree 4.