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x^(4)+2x^(3)-x^(2)-2x=0

Question

x^(4)+2x^(3)-x^(2)-2x=0

Solution

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Answer

x=(0, -2, 1, -1)

Explanation

This is a polynomial equation. Mathematics takes advantage of factoring polynomial expressions primarily in the context of finding solutions to equations, particularly the quadratic equation. This given polynomial equation is arranged in decreasing order of degree therefore it is the degree-4 polynomial. The first process includes factoring the polynomial. Terms that share common factors can be grouped. Meaning we will resolve the polynomial equation by using polynomial factoring, combining like terms and setting the equation to 0.