Question
Find the greatest common factor of the terms of the polynomial. 15q⁴-7q²+1
Answers
GPT 3.5
To find the greatest common factor of the terms of the polynomial 15q⁴ - 7q² + 1, we need to consider the factors of the coefficients and their exponents.
The coefficients are 15, -7, and 1. The factors of 15 are 1, 3, 5, 15. The factors of -7 are 1, -1, 7, -7. The factors of 1 are 1.
The exponents are 4, 2, and 0.
The greatest common factor of the terms is 1, because it is the largest factor that all three coefficients share.
Therefore, the greatest common factor of the polynomial 15q⁴ - 7q² + 1 is 1.
The coefficients are 15, -7, and 1. The factors of 15 are 1, 3, 5, 15. The factors of -7 are 1, -1, 7, -7. The factors of 1 are 1.
The exponents are 4, 2, and 0.
The greatest common factor of the terms is 1, because it is the largest factor that all three coefficients share.
Therefore, the greatest common factor of the polynomial 15q⁴ - 7q² + 1 is 1.