Question

What is the factorization of the polynomial graphed below? Assume it has no constant factor. Write each factor as a polynomial in descending order.

Answer 1

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)

Answer 2

(x-5)(x-7) will be factors.

Explanation:

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)