SOLUTION: What polynomial of lowest degree must be multiplied to the polynomial 8x³-29x²-16x+48 to make it a perfect square?

I used a special/specialized web-site for finding roots of polynomials, and this web-ste (online solver) reported me the following :



    The roots of the polynomial 8x^3 − 29x^2 − 16x + 48 are:

    x1 = 1.21693

    x2 = −1.32186

    x3 = 3.72993

    This polynomial has no rational roots that can be found using Rational Root Test.


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THEREFORE,  the polynomial of lowest degree the problem asks for, is the given polynomial itself.