# Algebra 1 - Chp 5 - Polynomials

## 30 terms · Terms/concepts for Algebra 1 MidTerm - Chp 5

no solution

### polynomial

no operations other than add, sub, mult

Linear

### Third degree: x^3

Cubic (cubes have 3 dimensions)

YES

NO

NO

Linear binomial

### Name polynomial: 5x^4 + x^7

Seventh-degree binomial

### Name polynomial: x^3 + x^2 + x + 1

Cubic polynomial with 4 terms

monomial

binomial

trinomial

four term

x^2 -8x -20

### Prime polynomial

only factors 1 and itself

### Factor x^2 -12x + 20

Think of factors of 20 that add up to 12
(x - 2)(x - 10)

### Factor 3x^2 - 11x - 4

Write down (3x )(x )
Think of factors of 4 (2,2) and (4,1)
(3x + 1)(x - 4)

(a + b)(a - b)
(x + 3)(x - 3)

### Square binomial (x + 9)^2

Square first term : x^2
Add twice the product of two terms: 18x
Add square of last term: 81
x^2 + 18x + 81

(x - 5)^2

not real number

### real numbers

the set of numbers that includes rational and irrational numbers (ie: positive, negative, fractions and decimals, and zero)

### rational numbers

all numbers that can be written as a fraction
a / b and square root of a perfect square

### irrational number

a number that can not be written as a fraction (ie: a number that is non-ending, non-repeating - the square root of a number that is not a perfect square - square root of 7)

### square root of 70: rational or irrational

not a perfect square therefore irrational

### square root of -36

not a real number

### integer

whole number including zero and can be negative or positive