Ch.2 Quadratics

Question 1

how would you pull out a quadratic from
27x⁶ + 26x³ - 1

Answer 1

let a = x³

27a² + 26a - 1

Question 2

what does x∈R mean?

Answer 2

it means x is a real number because ∈ means “is a member of” and R represents real numbers

Question 3

what is a set of possible inputs for a function called?

Answer 3

the domain

Question 4

what is the set of possible outputs of a function called?

Answer 4

the range

Question 5

how does the discriminant show how many roots f(x) has?

Answer 5

b² - 4ac > 0 means 2 real roots
b² - 4ac = 0 means 1 repeated root
b² - 4ac < 0 means no real roots