 Hi and welcome to this session. I am Asha and I am going to help you with the following question that says, find the remainder when xq minus ax square plus 6x minus a is divided by x minus a. So before finding the remainder, let us first learn what does remainder theorem say. It says if px is any polynomial of degree greater than or equal to 1 in real number, then when px is divided by the linear polynomial x minus a, then remainder is equal to the key idea that we will be using in this problem to find the remainder when the given polynomial xq minus ax square plus 6x minus a is divided by x minus a. Let us now start with the solution and let the given polynomial be denoted by px. So px is equal to xq minus ax square plus 6x minus a and we are required to find the remainder when px is divided by x minus a. Then according to the key idea, so replacing x by a in the polynomial px we have aq minus a into a square plus 6 into a minus a which is further equal to aq minus a into a square is minus aq plus 6 a minus a and aq cancels with minus aq and 6 a minus a is 5 a. Thus the remainder is equal to 5 a. This completes the solution. Hope you enjoyed this session. Take care and bye for now.