Ddkjsjsj
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  • 15-12-2020
  • Mathematics
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Factor the polynomial by finding the greatest common factor.
-15y^7z^6 – 3y^3z^8

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kiddleformal
kiddleformal kiddleformal
  • 15-12-2020
Answer: -3y^3z^6(5y^4+z^2)

Explanation: The first number in the parenthesis has to be positive, so the GCF in this problem will be negative. The GCF between the coefficients is 3. The GCF between the y variable is y^3. The GCF between the z variable is z^6. We combine all of the GCFs to get an overall GCF: -3y^3z^6. Then we will factor it out of the two terms, giving us: -3y^3z^6(5y^4+z^2). You can check the answer by multiplying them to see if you get the original expression.
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