Factor the polynomial completely. 6y^3-8y^2-30y
\[6y^3-8y^2-30y\]The first thing I would do is factor out 2y. What would you be left with?
6y^(3)-8y^(2)-30y Factor out the GCF of 2y from each term in the polynomial. 2y(3y^(2))+2y(-4y)+2y(-15) Factor out the GCF of 2y from 6y^(3)-8y^(2)-30y. 2y(3y^(2)-4y-15) Find the factors such that the product of the factors is the trinomial 3y^(2)-4y-15. This can be done by trial and error and checked using the FOIL method of simplifying polynomials. 2y(3y+5)(y-3)
Luis_Rivera has the most worked out and worked answer. "6y^(3)-8y^(2)-30y Factor out the GCF of 2y from each term in the polynomial. 2y(3y^(2))+2y(-4y)+2y(-15) Factor out the GCF of 2y from 6y^(3)-8y^(2)-30y. 2y(3y^(2)-4y-15) Find the factors such that the product of the factors is the trinomial 3y^(2)-4y-15. This can be done by trial and error and checked using the FOIL method of simplifying polynomials. 2y(3y+5)(y-3)"
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