which factor of -6x^3-2x^2+10x will lead to its complete factorization?
A. -2x
B. 3x^2-x+5
C. 3x^2+x+5
D. 1/2x
To find the factor that will lead to the complete factorization of -6x^3-2x^2+10x, we need to look for a factor that can divide all the terms in the expression.
First, let's factor out the greatest common factor (-2x) from each term:
-6x^3 = (-2x)(3x^2)
-2x^2 = (-2x)(x)
10x = (-2x)(-5)
Now we have the expression in factored form: -6x^3-2x^2+10x = (-2x)(3x^2-x-5)
Therefore, the factor that will lead to the complete factorization is A. -2x.