F(x)=2x^3+ax^2-37x-60

The binomial x-4 is a factor of f(x). Find the value of a.

Given:

The function is

The binomial is a factor of f(x).

To find:

The value of .

Solution:

If is a factor of f(x), then .

It is given that, is a factor of f(x), then .

We have,

Substituting x=4, we get

Now,

Therefore, the value of a is 5.

answer: all of the odd numbers were opened

the first person was the one that was opening all of the lockers. since one is odd, this causes all of the odd number lockers to be opened in the end.