# Algebra 8 Chapter 10 Vocabulary

## 36 terms · For Chapter 10 in McDougal Littel Algebra 1

### polynomial

An expression which is the sum of terms of the form ax^k, where k is a nonnegative integer

### standard form

The form of a polynomial ax^n + bx^(n-1) + ... + qx + r

### degree

The name for the exponent of the variable in a term of a polynomial

### degree of a polynomial

The largest degree of any of the terms of a polynomial.

When a polynomial is written in standard form, the coefficient of the first term is the ____.

### monomial

A polynomial with only one term is called a ____.

### binomial

A polynomial with two terms is called a ____.

### trinomial

A polynomial with three terms is called a ____.

### constant

The growth of a polynomial is ____ in a monomial of degree zero.

### linear

The growth of a polynomial is ____ in a monomial of degree one.

The growth of a polynomial is ____ in a polynomial of degree two.

### cubic

The growth of a polynomial is ____ in a polynomial of degree three.

### quartic

The growth of a polynomial is ____ in a polynomial of degree four.

### 7

Which is the constant term in 2x^3 + 5x^2 - 4^x + 7 ???

### 2

Which is the leading coefficient in 2x^3 + 5x^2 - 4^x + 7 ???

### 3

What is the degree of the polynomial in 2x^3 + 5x^2 - 4^x + 7 ???

### 2

What is the degree of the 2nd monomial in 2x^3 + 5x^2 - 4^x + 7 ???

### 1

What is the degree of the third monomial in 2x^3 + 5x^2 - 4^x + 7 ???

### 4

What is the coefficient of the third monomial in 2x^3 + 5x^2 - 4^x + 7 ???

### 7

What is the coefficient of the fourth monomial in 2x^3 + 5x^2 - 4^x + 7 ???

### 0

What is the power of the fourth monomial in 2x^3 + 5x^2 - 4^x + 7 ???

### First Outer Inner Last

What does FOIL stand for?

### (a+b)(a-b) = a^2 - b^2

What is the sum and difference pattern?

### sum and difference

What pattern? (a+b)(a-b) = a^2 - b^2

### square of a binomial

What pattern? (a+b)^2 = a^2 + 2ab + b^2

### square of a binomial

What pattern? (a-b)^2 = a^2 - 2ab + b^2

### factored form

A polynomial is in ____ if it is written as the product of two or more linear factors.

### ab=0

Zero Product Property: Let 'a' and 'b' be real numbers. If ____, then 'a' = 0 or 'b' = 0

### zero property

What property? LPr

### difference of two squares

What pattern? a^2 - b^2 = (a+b)(a-b)

### a^2 - b^2 = (a+b)(a-b)

What is the difference of two squares pattern?

### perfect square trinomial

What pattern? a^2 + 2ab + b^2 = (a+b)^2

### perfect square trinomial

What pattern? a^2 - 2ab + b^2 = (a-b)^2

### prime

A polynomial is ___ if it is not the product of polynomials having integer coefficients

### monomial factors

To factor a monomial completely, write it as the product of 1.) ____ and 2.) prime factors with at least two terms

### prime factors with at least two terms

To factor a monomial completely, write it as the product of 1.) monomial factors and 2.) ____