24-25 Adv Alg2 5-1 FLASHCARD(B) - Operations with Polynomials

Front

What is polynomial long division?

Back

Polynomial long division is a method used to divide a polynomial by another polynomial of the same or lower degree, similar to numerical long division.

Front

What is synthetic division?

Back

Synthetic division is a simplified form of polynomial division that is used when dividing by a linear factor of the form (x - c). It is faster and requires less writing than long division.

Front

Divide (x^2 + 12x - 64) by (x - 4). What is the result?

Back

x + 16

Front

What is the distributive property in relation to polynomials?

Back

The distributive property states that a(b + c) = ab + ac, which is used to multiply a polynomial by a monomial or another polynomial.

Front

Multiply (5x - 2) by (x^2 + 3x + 6). What is the result?

Back

5x^3 + 13x^2 + 24x - 12

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and reduce it to its simplest form.

Front

Simplify the expression: (4n^4 + n^2 - 8n + 4) - (8n^2 + 4n^4 + 1). What is the result?

Back

-7n^2 - 8n + 3

Front

What are like terms in a polynomial?

Back

Like terms are terms that have the same variable raised to the same power, allowing them to be combined.

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

What is a monomial?

Back

A monomial is a polynomial with only one term.