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12 October, 09:01

Isiah determined that 5a2 is the GCF of the polynomial

a^3 - 25a^2b^5 - 35b^4. Is he correct?

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  1. 12 October, 11:11
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    Isiah determined that 5a2 is the GCF of the polynomial a^3 - 25a^2b^5 - 35b^4-No, Isiah is not correct if he states that that 5a2 is the GCF of the polynomial

    Step-by-step explanation:

    Firstly, we divide each term by the GCF and if the term does not divide evenly, then it is not valid

    so,

    5a^2 divide by a^3

    we see that we cannot divide 5a^2 by a^3 because firstly the power is higher and then there is no 5 number. Thus it is not the GCF

    The GCF of the coefficients is 1, and there are no common variables among all three terms of the polynomial.

    Also we find that 5b^4 is a factor of - 25a^2b^5 and - 35b^4, but not a3. Additionally, a2 is a factor of a3 and - 25a^2b^5, but not - 35b^4.
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