Question

Help! Please!!!!!!!!!!
x-3 is a factor of f(x)=x^3+2+5
Which method is the most convenient?
How can I determine the end behavior of that function?
The process in finding the solutions for that function and how these solutions are related to the graph of that function?

Answer 1

@campbell_st @Directrix

Answer 2

can you rewrite the equation

Answer 3

f(x)=x^3+2+5 is my equation but it's asking the different methods determine if x-3 is a factor of my equation @campbell_st

Answer 4

so why is it written as

\[f(x) = x^3 + 2 + 5 ~~~instead~ of~~~f(x) = x^3 + 7\]

Answer 5

Because I need three or more terms

Answer 6

to determine if its a factor

x - 3 as a factor then x = 3 is a zero...

so find f(3) if it gives a zero, then you have x - 3 as a factor.

its called the factor theorem... or remainder theorem

Answer 7

Okay now How can I determine the end behavior of that function?
The process in finding the solutions for that function and how these solutions are related to the graph of that function? @campbell_st

Answer 8

but based on the information, if every term is positive then (x -3) can't be a factor...

so how are you going to find the 3 terms...?

Answer 9

Can you make a new polynomial for me with a degree of 3 or higher and has 3 or more terms? @campbell_st

Answer 10

so is (x - 3) a factor...?

Answer 11

yeah

Answer 12

ok... make it simple....

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

that is degree 3, with (x -3) as a factor...

now distribute to get the equation in standard form.

Answer 13

so you were asked to create any degree 3 polynomial..with (x -3) as a factor and minimum of 3 terms

Answer 14

yeah
@campbell_st

Answer 15

ok... so distribute and you'll have a polynomial in standard form

Answer 16

How do I do that? @campbell_st