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For the equation:

x5+7x3-30x=0

The highest exponent in the entire equation is 5 (from x5), so the equation is of degree 5.

Q: State the degree of the polynomial equation x to the 5th power plus 7x cubed minus 30x equals 0?

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The question has a simple answer only if the polynomial has rational coefficients. However, the question does not state that it has rational coefficients so it is not valid to assume that is the case. So, suppose the third root is p. Then the polynomial is (x + 3)*(x - 3 + 2i)*(x - p) = (x2 + 2xi - 9 + 6i)*(x - p) = x3 + (2i - p)x2 - (2pi - 6i + 9)x + (9p + 6pi)

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(5a2 - 3)(5a2 + 3)

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