# SOLUTION: Factor out the greatest common factor from the polynomial 21x^3 - 6x^2 + 15x

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 Click here to see ALL problems on Polynomials-and-rational-expressions Question 102392: Factor out the greatest common factor from the polynomial 21x^3 - 6x^2 + 15xAnswer by JP(22)   (Show Source): You can put this solution on YOUR website!21x^3-6x^2+15x When you look at the polynomial, what is a factor that every term has in common with one another? The answer is 3x because, 3x(7x^2-2x+5) 21x^3 is divided by 3x to get 7x^2 -6x^2 is divided by 3x to get -2x 15x is divided by 3x to get 5 So the GFC(Greatest Common Factor) is 3x To check your work multiply 3x by the factored set of terms 3x(7x^2-2x+5) to get 21x^3-6x^2+15x Hope this helps...