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Degree of a Differential Equations

write the deg...

Question

write the degree of the polynomial (x+1)(x²-x-x⁴+1)

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Solution

$(x + 1) (x^{2} - x - x^{4} + 1) = x (x^{2} - x - x^{4} + 1) + 1 (x^{2} - x - x^{4} + 1) = (x^{3} - x^{2} - x^{5} + x) + (x^{2} - x - x^{4} + 1) = x^{3} - x^{5} - x^{4} + 1 Degree = 5$

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