exam Maths Puzzle Numerical Ability

The annual salary of a person who gets paid x dollars per month.

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Please help!!
Sq+Sp=Spq+p solve for q Polynomial ax^3+ bx^2+cx+d has integral coefficients a,b,c,d. ad is odd and bc is even.
PROVE THAT at least 1 root of the polynomial is irrational

I used sum of roots and produ