 Hi and welcome to the session I am Asha and I am going to help you solve this problem which says find the value of the polynomial 5x minus 4x square plus 3 at first we have to find its value at x is equal to 0. Starting with the solution first let us name this polynomial as px just 5x minus 4x square plus 3. Now we have to find the value of px at x is equal to 0. So at x0 the value of px will be 5. Now replacing all the x with 0 5 into 0 minus 4 into 0 square plus 3 and on multiplying 5 with 0 we get 0, 0 square is 0 and multiplying 4 with 0 again 0 plus 3 gives us 3 and hence we have p0 is equal to 3 therefore its value is 3 at x is equal to 0. So this completes the first part and now proceeding on to the second part where we have to find the value of the polynomial px at x is equal to minus 1. So px polynomial is 5x minus 4x square plus 3 and we are required to find the value of px at x is equal to minus 1. So substituting minus 1 in place of x we have 5 into minus 1 minus 4 then we have x square that is minus 1 square plus 3 which is further equal to on multiplying 5 with minus 1 we get minus 5 then minus 4 minus 1 into minus 1 is 1 plus 3 which is equal to minus 5 minus 4 plus 3 and minus 5 minus 4 is minus 9 plus 3 which in further solving gives us minus 6. Thus the value of the polynomial px at x is equal to minus 1 is minus 6 thus its value is minus 6 and hence its the answer of the second part and now proceeding on to the last one which is x is equal to 2. Again we have to find the value of the polynomial px which is equal to 5x minus 4x square plus 3 at x is equal to 2. So on substituting 2 in place of x we have 5 into 2 minus 4 into 2 square plus 3 which is equal to 5 into 2 is 10 minus 4 2 square is 4 plus 3 which is equal to 10 plus 3 is 13 and 4 into 4 is minus 16 which on further simplifying gives minus 3 hence p at 2 is equal to minus 3 and thus the value of the polynomial at x is equal to 2 is minus 3. So this completes the third part and hence the solution. So hope you enjoyed this session. Take care and have a good day.