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 is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the expression.

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 multiply two binomials?

Back

Use the distributive property (FOIL method): First, Outer, Inner, Last.

Front

What is the result of multiplying (x+1)(x-1)?

Back

x² - 1.

Front

How do you find the difference of two polynomials?

Back

Subtract the corresponding coefficients of like terms.

Front

What is the result of (3 - 2x + 2x²) - (4x - 5 + 3x²)?

Back

-x² - 6x + 8.

Front

What does it mean to simplify a polynomial?

Back

To simplify a polynomial means to combine like terms and express it in its simplest form.