A polynomial degree'5' we have real roots alfa,beeta.How many roots of have in total

since the degree of polynomial is 5 no of real roots would be odd (considering the case when two roots are equal). We already know two roots which leave us with two possibility either 3 roots or 5 roots which could be told only after looking into polynomial.

Thank you sir please justify your answer

Since the polynomial degree is 5, so the polynomial has 5 roots.