Question

What is the factorization of the polynomial graphed below? Assume it has no constant factor

Answer 1

Please use a 'standard' image format.

Answer 2

I can't oopen it

Answer 3

there we go

Answer 4

this graph has a shape of x^3 so it is degree 3 polynomial having x-intercepts at x=2,x=3,x=4 which implies you have the factors x-2 and x-3 and x-4 so the polynomial is P(x)=(x-2)(x-3)(x-4)

Answer 5

should i put the p(x) in as my answer

Answer 6

you can name the function whatever you want unless the book or teacher ask you to name it something else

Answer 7

? im just asking do i need to put p(x) in as part of my answer

Answer 8

can you explain how to do this please how did you get the answer

Answer 9

this graph has degree 3 and has x intercepts x=2,x=3,x=4 correct?

Answer 10

yes

Answer 11

if x=2 is an x intercept, then x-2 is a factor of our function. if x=3 is an x intercept, then x-3 is a factor of our function. if x=4 is an x intercept, then x-4 is a factor of our function.

Answer 12

The graph has 3 x intercepts. Therefore it has 3 distinct roots and can be represented as a product of 3 factors:

(x-a)(x-b)(x-c)

Where a, b, and c correspond to the 3 x values for which the graph is at y=0

Answer 13

ok but what does all that mean

Answer 14

ok polpak but how do i get my answer then

Answer 15

a,b,c are the x intercepts just plug them in to his expression for f(x)

Answer 16

ok ill try