Unit 3: Factors and Products Flashcards

1
Q

Define factors.

A

Two or more numbers that multiply to any given numbers.

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2
Q

Define multiples.

A

The product of a given number and a natural number.

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3
Q

Define prime numbers.

A

A number with only two distinct factors, one and itself. Doesn’t include one itself.

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4
Q

Define prime factorization.

A

A natural number is written as a product of its prime factors.

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5
Q

Define Greatest Common Factor.

A

The largest number that divides into each number in a set without a remainder.

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6
Q

Define Least Common Multiple.

A

The smallest multiple that is the same for two or more numbers.

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7
Q

Define perfect squares.

A

Any number that can be represented as the area of a square with a whole number side length.

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8
Q

Define perfect cube.

A

Any whole number that can be represented as the volume of a cube with a whole number side length.

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9
Q

Define cube root.

A

A number that is an edge length of a cube.

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10
Q

Define variable.

A

A letter that represents a quantity.

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11
Q

Define constant.

A

The term in an expression or equation that is a number (ie-no variable parts).

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12
Q

Define term.

A

A variable, a constant, or numbers & variables…seperated by addition/substraction

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13
Q

Define like terms.

A

Terms that have the same variables raised to the same powers.

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14
Q

Define polynomial.

A

One term or the sum of terms whose variables have whole number exponents. Constants included just by themselves as they have degree 0.

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15
Q

Define monomial, binomial, and trinomial.

A

A polynomial with one, two, and three terms, respectively.

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16
Q

Define degree.

A

Highest exponent in a one variable polynomial.
Highest exponent when terms seperated by addition/subtraction’s exponents are added up, in two+ variable polynomials.

17
Q

What is this an example of: a^2+2ab+b^2

A

Perfect square trinomial

18
Q

What is this an example of: a^2-b^2

A

Difference of squares