Polynomial Operations: Add & Subtract & Multiply & Simplify

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists 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 polynomial.

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 standard form of a polynomial?

Back

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

Front

What is a binomial?

Back

A binomial is a polynomial that contains exactly two terms.

Front

What is a trinomial?

Back

A trinomial is a polynomial that contains exactly three terms.

Front

What is the product of (x + 3)(x + 2)?

Back

The product is x² + 5x + 6.

Front

What is the result of (a + 4) - (a - 2)?

Back

The result is 6.

Front

How do you multiply polynomials?

Back

To multiply polynomials, use the distributive property (FOIL for binomials) to multiply each term in the first polynomial by each term in the second.