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What is the greatest common factor of -18x^4y - 9xy^3 + 3xy^2

User Littlemad
by
7.5k points

2 Answers

5 votes

Answer:

3xy²

Step-by-step explanation:


-18x^4y-9xy^3+3xy^2\\=3(-6x^4y-3xy^3+xy^2)\\=3x(-6x^3y-3y^3+y^2)\\=3xy^2(-6x^3-3y+1)

Therefore,
3xy^2 is the GCF of the given polynomial

User Prateeksarda
by
8.0k points
2 votes

Answer: GCF = 3xy

Step-by-step explanation:

The coefficients are -18, -9, and 3. The GCF of those values is 3 because it's the largest factor in common to each.

  • -18 = -6*3
  • -9 = -3*3
  • 3 = 3*1

The GCF of the x terms is simply x. Take note the smallest exponent for the x terms is 1. The GCF of the y terms is the same idea. Therefore the GCF of the y terms is y.

The GCF pieces are 3, x, and y. All together the GCF is 3xy.

User FruitAddict
by
8.1k points
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