What is the completely factored form of f(x)=x3−7x2+2x+4? f(x)=(x−1)(x−(3+13−−√−(3−13−−√)) f(x)=(x+1)(x−(3+13−−√−(3−13−−√)) f(x)=(x+1)(x−(3+52−−√−(3−52−−√)) f(x)=(x−1)(x−(3+52−−√−(3−52−−√))

Factored form is

f(x)= (x-1)(x-3+√(-5))(x-3-√(-5))

Step-by-step explanation:

Given that  

f(x)=x3−7x2+2x+4

To solve for x  we factorise the right side

f(x)=x3−7x2+2x+4

Let us substitute x for various values to check whether remainder is zero.

i.e. f(1) = 1-7+2+4  =0

Hence x-1 is a factor

Do synthetic division to find the quotient

1       1    -7    2    4

              1     -6   -4

        1    -6    -4   0

i.e. we get remainder 0 and quotient as

x^2-6x-4

Use completion of squares method to solve this

x^2-6x-4

= (x-3)^2+5=0

x-3= ±√(-5)

Or x=1,3+√(-5,)  3-√(-5,)

Are the roots

Factored form is

f(x)= (x-1)(x-3+√(-5))(x-3-√(-5))

attachment?

step-by-step explanation:

steve should create a type of business report called a business plan. the correct option among the options that are already given in the question is the last or the fourth option. this business report created by steve will actually influence the investors about investing their money in steve's business. this business report will have all the details about the business, the amount of investment required and the amount of expected profit.