Solve the following cubic equation using polynomial division; 4x3(cubed) + 11x2(squared) + 4x - 3 = 0

Question

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Answer 1

There are several possibilities for rational roots and there is a maximum of 1 positive real root.

Try x = -1: -4+11-4-3 = 0, i.e. x=-1 is a root. Divide it out ( you can use synthetic division or long division) to get: 4x²+7x-3 The other two roots are irrational and can be obtained by the quadratic formula.