How can I prove that problem with NP-Complete reduction?

Prove that the decision problem POLPOS defined below is omplete NOTE: Note that this is not an exam question, so you have be precise and clear in what you write, and follow all requirements for a proper proof. Ifyou write ambiguous text you may not get any points. POLPOS Given the n-variable polynomial function p, is there any 0/1 assignment to the arguments x1, x2, xn such that p(x,x2,... ,xn) 0 where p is defined as follows p(x1, x ...,xn) J ak.0 akix where aki are integers and mis a positive integer k-1 iel An instance of POLPOS problem is could be: p(x1,x2, x3) (2 x1 2x3)(-1 2x 3x2 x3) In English text: is it possible to make (2-X1 3x1)(1 +x1 4x2 3x3) positive by a proper 0 or 1 assignment to the arguments of p? (In this case, the answer is yes because p(1,0,1) >0) Another instance of POLPOS could be: x2)(-2 x1 x2) p(x1,x2) (1 +x In English text: is it possible to make (1 x x2)(-2 x1 x2) positive by a proper 0 or l assignment to the arguments of p? (In this case, the answer is no, because no assignment of 0/1 toxi, x2 can make p positive. Try it!) Prove that the decision problem POLPOS defined below is omplete NOTE: Note that this is not an exam question, so you have be precise and clear in what you write, and follow all requirements for a proper proof. Ifyou write ambiguous text you may not get any points. POLPOS Given the n-variable polynomial function p, is there any 0/1 assignment to the arguments x1, x2, xn such that p(x,x2,... ,xn) 0 where p is defined as follows p(x1, x ...,xn) J ak.0 akix where aki are integers and mis a positive integer k-1 iel An instance of POLPOS problem is could be: p(x1,x2, x3) (2 x1 2x3)(-1 2x 3x2 x3) In English text: is it possible to make (2-X1 3x1)(1 +x1 4x2 3x3) positive by a proper 0 or 1 assignment to the arguments of p? (In this case, the answer is yes because p(1,0,1) >0) Another instance of POLPOS could be: x2)(-2 x1 x2) p(x1,x2) (1 +x In English text: is it possible to make (1 x x2)(-2 x1 x2) positive by a proper 0 or l assignment to the arguments of p? (In this case, the answer is no, because no assignment of 0/1 toxi, x2 can make p positive. Try it!)