Multiplying and Dividing polynomials practice

Front

What is the FOIL method used for in algebra?

Back

The FOIL method is used to multiply two binomials. It stands for First, Outside, Inside, Last, referring to the order in which you multiply the terms.

Front

Simplify the expression (x + 5)(x + 4) using FOIL.

Back

x^2 + 9x + 20

Front

What does the expression (x)(x) represent?

Back

It represents the square of x, which is x^2.

Front

How do you divide a polynomial by a monomial?

Back

You divide each term of the polynomial by the monomial separately.

Front

Divide the polynomial 15x^9 - 8x^3 by the monomial 5x^3.

Back

3x^6 - 8

Front

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

Back

x^7 - 4x - 14

Front

What is the general form of a polynomial?

Back

A polynomial is an expression consisting of variables raised to non-negative integer powers and coefficients, such as a_nx^n + a_{n-1}x^{n-1} + ... + a_1x + a_0.

Front

What is a monomial?

Back

A monomial is a polynomial with only one term, such as 3x^2 or -5xy.

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 does it mean to simplify a polynomial?

Back

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