We are given a single-term polynomial 8d and a constant term -28, and we want to find the greatest common factor (GCF) or greatest common divisor (GCD).
The GCD is the largest number that divides both numbers without leaving a remainder. The GCD of two numbers is the largest factor that both numbers share.
Let's take the number 8 from the polynomial term 8d and the constant -28 as we search for their GCF. We ignore the variable d at this point because we're interested in the coefficients.
Find all the factors of 8:
1, 2, 4, 8.
Find all the factors of -28:
-1, -2, -4, -7, -14, -28.
Compare the factors of 8 with factors of -28 and find the common factors:
-1, -2, -4.
From the above common factors, find the greatest common factor (GCF):
The GCF of 8 and -28 is 4.
This means that 4 is the largest number that can divide both 8 and -28 perfectly.
Therefore, the GCF of the polynomial 8d - 28 is 4.