ALGEBRA: Chapter 10
True
True/False: If one factor is a variable - It is a solution, the solution is 0.
False
True/False: If one of the factors is a constant - it is a solution.
Polynomial
An expression which is the sum of terms of the form ax^k where k is a nonnegative integer.
Degree of a polynomial
The ___ is the largest degree of its terms.
Degree
The ___ of each term of a polynomial is the exponent of the variable.
Zero product property
The ___ states that if ab = 0, then either a = 0 or b = 0 (or both).
Linear
An expression in which the highest degree is to the first power.
Quadratic
An expression in which the highest degree is to the fourth power.
Quartic
An expression in which the highest degree is to the second power.
Product of sum and a difference
(2x - 9) (2x + 9)
Square of a difference
(3x - 4)²
Square of a sum
(4x + 7)²
Cubic
An expression in which the highest degree is to the third.
FOIL
A pattern used to multiply two binomials.
Monomial
A polynomial with one term is called a ___.
Trinomial
A polynomial with three terms is called a ___.
Binomial
A polynomial with two terms is called a ___.
Constant
A term that is a number all by itself.
Constant
A term which has no variable.
Descending order
Placing of terms used in standard from greatest to least.
Standard form
Polynomials are usually written in ___ which means that the terms are placed in descending order, from largest degree to smallest degree.
Check your answer for more factoring
Remember, the last rule for factoring is ___.
Like terms
Terms that have the same variable raised to the same exponent.
(G)reatest(C)ommon(F)actor first
The first rule of factoring is ___.
Leading term
The first term in a polynomial in standard form.
(G)reatest(C)ommon(F)actor
The greatest factor that divides two numbers.
Leading coefficient
When a polynomial is written in standard form, the coefficient of the first term is the ___.
Horizontal
When adding in ___ form, add like terms.
Vertical
When adding in ___ form, you must write each expression in standard form, aligning like terms.
Add
When subtracting in vertical form, you ___ the opposite.
Product of a sum and difference
Which pattern is this: (a + b) (a - b) = a² + b² ?
Square of a sum
Which pattern is this: (a +b )² = a² + 2ab + b² ?
Square of a difference
Which pattern is this: (a - b)² = a² - 2ab + b² ?
Collect like terms
You must ___ after you FOIL as a way of simplifying your answer.
