ALGEBRA 2

POLYNOMIALS

100

(5p² - 3) + (2p² - 3p³)

-3p³ + 7p² - 3

200

(3x⁴ - 3x) - (3x - 3x⁴)

6x⁴ - 6x

300

(8k +k² - 6) - (-10k + 7 - 2k²)

3k² + 18k - 13

400

(2xy - y)²

4x² + y² - 4xy

500

(m - 7) (m³ - 2m - 1)

m⁴ - 7m³ - 2m² + 13m - 7

TRINOMIALS

100

b² - 12b + 32

(b - 8)(b - 4)

200

y² + 10y - 24

(y + 12)(y - 2)

300

x² + 13x + 30

(x + 3)(x +10)

400

c² - 6c - 16

(c + 2)(c - 8)

500

6a² + a - 5

(6a - 5)(a + 1)

QUADRATIC EQUATIONS

100

2x² - 8x - 24 = 0

x₁ = 6

x₂ = -2

200

x² - 9x + 18 = 0

x₁ = 3

x₂ = 6

300

x² + 5x + 4 = 0 

x₁ = -4

x₂ = -1

400

n² - 64 = 0

n₁ = -8

n₂ = 8

500

b² + 56 = 0

b = no real solutions

INVERSE FUNCTIONS

100

f(x) = 2x − 4

f^-1 (x) = x + 4 /2

200

f(x) = 3x +6

f^-1(x) = x/3 - 2

300

g(x) = -1/2x

g^-1(x) = -2x

400

h(x) = x-20/4

h^-1(x) = 4x + 20

500

j(x) = 5(x - 1)

j^-1(x) = x/5 + 1

VOCABULARY

100

a polynomial of two terms

binomial

200

the real numbers and the imaginary numbers

complex numbers

300

any number of the form a + bi, where a and be are real numbers, b is not equal to zero, and I is the square root of -1

imaginary number

400

an expression consisting of the sum of one or more terms in which each is the product of a constant and a variable raised to an integer power

polynomial

500

x = (-b +/- √ b² - 4ac) / (2a) which gives the solution to a quadratic equation

quadradic formula