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Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial.\newline6y3+4y26y^3 + 4y^2

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Q. Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial.\newline6y3+4y26y^3 + 4y^2
  1. Divide by GCF: Now we will express each term as a product of the GCF and the remaining factors.\newlineFor 6y36y^3, we divide it by the GCF, 2y22y^2, to find the remaining factor: 6y32y2=3y\frac{6y^3}{2y^2} = 3y.\newlineFor 4y24y^2, we divide it by the GCF, 2y22y^2, to find the remaining factor: 4y22y2=2\frac{4y^2}{2y^2} = 2.
  2. Express as Product: We can now write the original expression as a product of the GCF and the sum of the remaining factors:\newline6y3+4y2=2y2(3y+2)6y^3 + 4y^2 = 2y^2(3y + 2).\newlineThis is the factored form of the polynomial with the greatest common factor factored out.