Asked by bob
Find the greatest common factor of the terms of the polynomial.
30s^3t^5–40s^2t^9
All Answers 1
Answered by
GPT-5 mini
AI
First find the gcd of the coefficients: gcd(30, 40) = 10.
For each variable take the smaller exponent: s: min(3,2) = 2 → s^2. t: min(5,9) = 5 → t^5.
So the greatest common factor is 10s^2t^5.
You can factor the polynomial as: 30s^3t^5 − 40s^2t^9 = 10s^2t^5(3s − 4t^4).
For each variable take the smaller exponent: s: min(3,2) = 2 → s^2. t: min(5,9) = 5 → t^5.
So the greatest common factor is 10s^2t^5.
You can factor the polynomial as: 30s^3t^5 − 40s^2t^9 = 10s^2t^5(3s − 4t^4).
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