Use the remainder theorem to verify this statement. (x + 5) is a factor of the function f(x) = x3 + 3x2 – 25x– 75

1.) Find the (blank) of f(x) =x^3 + 3x^2 - 25x - 75

2.) The (Blank) of this operation is 0

3.) Therefore, (x+5) is (Blank) of function F.

4.) So f(-(Blank)-) = 0

Options for 1.)
Difference
Product
Quotient
Sum

Options for 2.)
Discriminant
Remainder
Sum
Quotient

Options for 3.)
The simplified form
The opposite
A factor
Not a factor

Options for 4.)
-5
75
-75
5