(50 points! ! )

y=x^3-4x^2+9x-36 find the roots(zeros) i got 4,3i, and -3i but i dont know how to write the steps to the answer. someone solve it and write the steps on how to get their. i'll give brainliest to whoever has the best answer with enough steps but not too many.

The roots of the given equation is x=4,3i,-3i

Step-by-step explanation:

The given cubic equation is

To find the roots we have to equate the equation to zero

ie,

It can be done by using Synthetic division method

Therfore [tex](x-1) is not a factor or root

now put x=-1

Therfore [tex](x-1) is not a factor or root

similarly let x=2,-2,3,-3 all not equal to zero so the are not roots.

let x-4 is a factor of given equation

then it satifies the equation ie (x-4) is a root

And it may be written as

[tex](x-4)(x^2+9)

3.how is solving radical equations different than solving linear equations?

step-by-step explanation:

when functions are first introduced, you will probably have some simplistic "functions" and relations to deal with, usually being just sets of points. these won't be terribly useful or interesting functions and relations, but your text wants you to get the idea of what the domain and range of a function are. small sets of points are generally the simplest sorts of relations, so your book starts with those.

step-by-step explanation:

state the domain and range of the following relation. is the relation a function?

{(2, –3), (4, 6), (3, –1), (6, 6), (2, 3)}

the above list of points, being a relationship between certain x's and certain y's, is a relation. the domain is all the x-values, and the range is all the y-values. to give the domain and the range, i just list the values without duplication:

domain: {2, 3, 4, 6}

range: {–3, –1, 3, 6}

(it is customary to list these values in numerical order, but it is not required. sets are called "unordered lists", so you can list the numbers in any order you feel like. just don't duplicate: technically, repetitions are okay in sets, but most instructors would count off for this.)

while the given set does indeed represent a relation (because x's and y's are being related to each other), the set they gave me contains two points with the same x-value: (2, –3) and (2, 3). since x = 2 gives me two possible destinations (that is, two possible y-values), then this relation is not a function.

note that all i had to do to check whether the relation was a function was to look for duplicate x-values. if you find any duplicate x-values, then the different y-values mean that you do not have a function. remember: for a relation to be a function, each x-value has to go to one, and only one, y-value.

state the domain and range of the following relation. is the relation a function?

{(–3, 5), (–2, 5), (–1, 5), (0, 5), (1, 5), (2, 5)}

i'll just list the x-values for the domain and the y-values for the range: