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What is the GCF of the terms in the polynomial? 18d4e2−45d2+36d

User Rajesk
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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.

User Krzysztof Boduch
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