x
X^4 +10x² + 3x² + 50x + 24
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The Factor Theorem states that if P/Q is root of a polynomial then this polynomial can be divided by q*x-p Note that q and p originate from P/Q reduced to its lowest terms
In our case this means that
x4-10x3+35x2-50x+24
can be divided by 4 different polynomials,including by x-4
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