Multiplying Polynomials & more

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables (also called indeterminates) raised to non-negative integer powers and coefficients. For example, 2x^2 + 3x - 5 is a polynomial.

Front

What does it mean to multiply polynomials?

Back

Multiplying polynomials involves using the distributive property to multiply each term in one polynomial by each term in another polynomial.

Front

What is the result of (a + b)(c + d)?

Back

The result is ac + ad + bc + bd, which is known as the distributive property.

Front

How do you subtract polynomials?

Back

To subtract polynomials, you change the signs of the terms in the polynomial being subtracted and then combine like terms.

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x^2 and 5x^2 are like terms.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial. For example, in 4x^3 + 2x^2 - x, the degree is 3.

Front

What is the FOIL method?

Back

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

Front

What is the result of (x + 7)(x - 9)?

Back

The result is x^2 - 2x - 63.

Front

What is the result of (x - 4)(x - 6)?

Back

The result is x^2 - 10x + 24.

Front

What is the result of (2x - 1)(x + 2)?

Back

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