# polynomial with factorial coefficients.

Level pending

the number of real roots of the polynomial

$$x^{5}$$ + $$2x^{4}$$ + 6$$x^{3}$$ + $$24x^{2}$$ + $$120x$$ + $$720$$ has $$a$$ solutions,

the number of real roots of the polynomial

$$x^{4}$$ + $$2x^{3}$$ + 6$$x^{2}$$ + $$24x$$ + $$120$$ has $$b$$ solutions.

find $$a$$ + $$b$$

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