Use Of the Sum of Cubes to solve this polynomial of degree 4  

This is a quartic expression (polynomial equation of degree 4), hence MUST have 4 solutions. We avoid the error of dividing both sides by 3x because it will destroy three solutions. we should bring everything on one side in order to have ZERO on the other side of the equation. We can now factorize out the common term (3x), to obtain the product of a linear and a cubic expression to give zero. To resolve the cubic equation we make use of the sum of cubes identity as shown.‪@EndzeMathsSolutions-mp1wn‬ ‪@EndzeMathsSolutions-mp1wn‬