Polynomials - Add, Subtract, Multiply

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 the standard form of a polynomial?

Back

The standard form of a polynomial is written in descending order of the degree of its terms.

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, distribute the negative sign and then combine like terms.

Front

What is the product of two binomials?

Back

The product of two binomials can be found using the distributive property or the FOIL method (First, Outside, Inside, Last).

Front

What is the FOIL method?

Back

The FOIL method is a technique for multiplying two binomials: Multiply the First terms, the Outside terms, the Inside terms, and the Last terms, then combine like terms.

Front

What is the result of (x + 5)(x + 4)?

Back

The result is x² + 9x + 20.

Front

What is the result of (x - 1)(x - 8)?

Back

The result is x² - 9x + 8.

Front

How do you multiply a polynomial by a monomial?

Back

To multiply a polynomial by a monomial, distribute the monomial to each term of the polynomial.