Polynomial Operations

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 a monomial?

Back

A monomial is a polynomial with only one term, which can be a constant, a variable, or a product of constants and variables.

Front

How do you divide a polynomial by a monomial?

Back

To divide a polynomial by a monomial, divide each term of the polynomial by the monomial.

Front

What is the result of dividing 2x^8 - 8x^2 - 28x by 2x?

Back

The result is x^7 - 4x - 14.

Front

What is the process of adding polynomials?

Back

To add polynomials, combine like terms by adding their coefficients.

Front

What is the result of (2x + 5y - z) + (-6x - 4y + 7z)?

Back

The result is -4x + y + 6z.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term in a polynomial.

Front

What is the result of multiplying (x + 3)(x + 1)?

Back

The result is x^2 + 4x + 3.

Front

What is the FOIL method?

Back

The FOIL method is a technique for multiplying two binomials, standing for First, Outside, Inside, Last.

Front

What is the result of (x - 3)(x^2 + 2x + 7)?

Back

The result is x^3 - x^2 + x - 21.