Answer: 18d
Explanation:
To find the greatest common factor (GCF) of the terms in the polynomial 18d^4e^2 − 45d^2 + 36d, we need to factor each term into its prime factors and then identify the common factors with the highest exponent for each variable.
The prime factors of each term are:
18d^4e^2 = 2 x 3^2 x d^4 x e^2
45d^2 = 3^2 x 5 x d^2
36d = 2^2 x 3^2 x d
To find the common factors, we need to look for factors that appear in all terms. The common factors with the highest exponent for each variable are:
2^1, 3^2, and d^1.
Therefore, the GCF of the terms in the polynomial is:
2 x 3^2 x d = 18d
Hence, the GCF of the terms in the polynomial 18d^4e^2 − 45d^2 + 36d is 18d.