Simplifying and classifying polynomials

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 are the degrees of polynomials?

Back

The degree of a polynomial is the highest power of the variable in the expression. It classifies polynomials as constant (degree 0), linear (degree 1), quadratic (degree 2), cubic (degree 3), etc.

Front

Classify the polynomial: 3x^2 – 8x + 1

Back

Quadratic

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

Classify the polynomial: 3x^3 – 6x

Back

Binomial

Front

Classify the polynomial: 7x^3 – 8x^2 + 9

Back

Trinomial

Front

What is the process of simplifying a polynomial?

Back

Simplifying a polynomial involves combining like terms to reduce the expression to its simplest form.

Front

What are like terms in a polynomial?

Back

Like terms are terms that have the same variable raised to the same power.