The factorization of the polynomial would be: y = (x - 5)(x - 7).
There are two x-intercepts at 5 and 7. Therefore, those are the zeros of the functions. Using those 2 values, we can write the following factors:
(x - 5) and (x - 7)
(x-5)(x-7) will be factors.
We have been given graph of polynomial.
This is in parabolic shape so, this is graph of quadratic function.
So, there will be two zeroes.
And also number of zeroes of a function is equal to the number of times graphs cuts x-axis
Here, we can see graph cuts at (5,0) and (7,0).
So, the Factors will be: (x-5) and (x-7).
Since, If x=5 is a zero then it means factor will be (x-5)
Similarly, If x=7 is a zero then it means factor will be (x-7)
If your question is not fully disclosed, then try using the search on the site and find other answers on the subject Mathematics.Find another answers
Mathematics, published 11.05.2023
Mathematics, published 23.03.2023