Operations with 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) to multiply the first, outer, inner, and last terms.

Front

What is the result of (x - 3)(x - 7)?

Back

x² - 10x + 21.

Front

What is the result of (x + 7)²?

Back

x² + 14x + 49.

Front

How do you divide polynomials?

Back

Use long division or synthetic division to divide the polynomials.

Front

What is the result of 25x⁵ / 5x³?

Back

5x².