Question

a) Write the subsets of a set whose elements are the zeroes of cubic
polynomial x3-5x2+6x.
​

Answer 1

Answer:

The set is {1, -3}.

Step-by-step explanation:

1. Definition of a set. A set is any collection of objects which are called its elements. If x is an element

of the set S, we say that x belongs to S and write

x ∈ S.

If y does not belong to S, we write

y 6∈ S.

The simplest way to represent a set is by listing its members. We use the notation

A = {1, 2, 4}

to denote the set whose elements are the numbers 1, 2 and 4. We can also describe a set by describing

its elements instead of listing them. For example we use the notation

C = {x : x

2 + 2x − 3 = 0}

to denote the set of all solutions to the equation x

2 + 2x − 3 = 0 .

Answer 2

Answer:

x³ - 5x² + 6x = 0

x (x-2) (x-3) = 0

∴ x = 0,-2,3

x ∈ [ 0 , 3 ] - {1}

x ∈ {0 , 2 , 3}

HOPE THIS HELPS YOU...........

PLZ MARK AS BRAINLEST...........