Question

I really need help with this question.

The following graph shows a seventh-degree polynomial:
graph of a polynomial that touches the x axis at negative 5, crosses the x axis at negative 1, crosses the y axis at negative 2, crosses the x axis at 4, and crosses the x axis at 7.
Part 1: List the polynomial’s zeroes with possible multiplicities.
Part 2: Write a possible factored form of the seventh degree function.

Answer 1

will , polynomial’s zeroes are all points x that
lies on (x,0)

Answer 2

can you find them ?

Answer 3

so, would it be -5,-1,4, and 7?

Answer 4

-5,-1, and the interval [3,5_4,5]

Answer 5

7 is not a root for the function ,
since f(0)=7
not f(7)=0

Answer 6

Ok, that makes some sense

Answer 7

ok how to write possible factors ?

Answer 8

how to write a possible factored form in the seventh degree function

Answer 9

will
since you know the zeros x1,x2,...
then factorize would be :-
(x-x1) (x-x2) (x-x3) ....=0

Answer 10

So is that it in the seventh degree function?

Answer 11

yep :)