Having issues with the red. Find all the real zeros of the polynomial P(x) = x^4

Question

Having issues with the red.

Find all the real zeros of the polynomial P(x) = x^4 - 2x^3 - 5x^2 + 6x. Its real zeros are x_1, x_2 =, x_3 = and x_4 = with x_1 lessthanorequalto x_2 lessthanorequalto x_3 lessthanorequalto x_4 If the polynomial has only three real zeros, input them at x_1, x_2 and x_3; if the polynomial has only two real zeros, input them at x_1 and X_2; if the polynomial has only one real zero, input it at x_1 When x rightarrow infinity, P9x) rightarrow When x rightarrow infinity, P9x) rightarrow If your answer is 00, enter infinity; if your answer is -infinity, enter infinity.

Explanation / Answer

when x approaches -infinity y approaches infinity because degree of polynomial is even and leading term is positive so using the end behaviour we can say that P(x) will approach to infinity

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