If (x + k) is a factor of f(x), which of the following must be true? f(k) = 0 f(–k) = 0 a root of f(x) is x = k. a y intercept of f(x) is x = –k.

For this case we have a function of the form:

Thus,

x: independent variable

f (x): dependent variable

Since (x + k) is a factor of f (x) then it follows that:

For f (x) = 0 we have:

From here, we clear the value of x:

Then, replacing this value of x in the function, we have:

the following must be true:

answer: ok

step-by-step explanation:

correct answer is infinitely many solutions

step-by-step explanation:

2(2x + 3) = -4 + 2(2x + 5)

solving the above equation:

4x + 6 = -4 +4x +10

combining like terms

4x -4x = -4+10-6

0=0

since both sides are 0=0, we end up into true statement it means it has infinite many solutions.

so correct answer is infinitely many solutions