Answer:
n = -7/2
Explanation:
Given the equation 4n^2 +28n +49, to get the factors of the equation, we need to factorize the equation completely as shown;
= 4n² +28n +49
Using the general formula n = -b±√b²-4ac/2a
from the equation: a = 4, b = 28 and c = 49
n = -b±√b²-4ac/2a
n = -28±√28²-4(4)(49)/2(4)
n = -28±√784-784/8
n = -28±√0/8
n = -28/8
n = -7/2
The factor of the given function is -7/2