ALGEBRA Flashcards
Expressions that consist of variables and coefficients. It has many terms.
Polynomial
Originated from the Greek poly, meaning “many”, and the Latin nomen, or “name”.
Polynomial
A polynomial, which has only one term.
Monomial
An algebraic expression with a single term but can have multiple variables and a higher degree too.
Monomial
Comes from Latin, mono meaning one and mial meaning term.
Monomial
When you subtract monomial by another, you need to _______ the exponents.
Keep
When _______ monomial by another, you need to keep the exponents.
Adding
When you ______ one monomial by another, you need to add the exponents.
Multiply
When ________ one monomial by another, you need to subtract the _______.
Dividing, Exponents
An algebraic expression consisting of the sum or difference of two terms.
Binomial
Was discovered by Bernoulli, J. in his work entitled Ars Conjectandi (1713).
Binomial
_____ in binomial means two.
Bi
Multiplying Integers Rules:
Positive × Positive = ?
Negative × Negative = ?
Positive × Negative = Negative
Negative × Positive = ?
Positive, Positive, Negative
Division of Integer Rules:
Positive ÷ Positive = ?
Negative ÷ Negative = Positive
Positive ÷ Negative = ?
Negative ÷ Positive = ?
Positive, Negative, Negative
Addition of Integer Rules:
Positive + Positive = ?
Negative + Negative = ?
Positive + Negative = ?
Negative + Positive = ?
Add, Add, Subtract, Subtract
Sutracting Integers Rules:
Positive - Positive = Add
Negative - Negative = ?
Positive - Negative = ?
Negative - Positive = ?
Add, Subtract, Subtract
What is x to the third power?
X to the third power is basically x × x × x. It means that we’re multiplying three x variables together.
What is x to the fourth power?
X to the fourth power means that we’re multiplying four x variables together.
Whenever you raised an exponent to another exponent you need to _________ those two exponents.
Multiply
Anything raised to the zero power is _______. So even if you were to see a huge problem with a lot of variable, if it’s raised to the zero power the final answer is simply ______.
One
Whenever you multiply an even number of Negative signs, it’s going to give you a _______ answer.
Negative
When multiplying a binomial to a binomial, initially you should get _____ terms before you add or subtract any like terms.
Four
What do you call this method where F means first, O is for outer, I is for inner, and L is for the last?
FOIL Method
Those that contain the same variables to the same powers, possibly with different coefficients.
Like terms
The largest factor that all the numbers share
Greastest Common Factor (GCF)
A number that can be expressed as the product of an integer by itself or as the second exponent of an integer.
Perfect Square
A factor of a number that, when multiplied by itself, gives the original number.
Square Root
