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5 March, 10:54

What is the greatest common factor of 5x^7+30x^4+10x^4?

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  1. 5 March, 11:05
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    5x^4

    Step-by-step explanation:

    When you need to find the GCF where there is multiple terms and variables, start by looking at them one at a time and break the terms apart.

    GCF of 5, 30, and 10: 5

    Factors of 5: 1*5

    Factors of 30: 1*30, 2*15, 3*10, 5*6

    Factors of 10: 1*10, 2*5

    The greatest factor that those numbers all have in common is 5.

    GCF of the variables: x^4

    (5) x^7: x*x*x*x*x*x*x

    (30) x^4: x*x*x*x

    (10) x^4: x*x*x*x

    The greatest number of x's that those variables have in common is 4.

    Therefore, the answer is 5x^4.
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