 Hi and welcome to the session. I am Shashi and I am going to help you with the following question. Question is, give examples of polynomials Px, Gx, Qx and Rx which satisfy the division algorithm and degree of Rx is equal to 0. First of all we should know that dividend is equal to divisor multiplied by quotient plus remainder. That is Px is equal to Gx multiplied by Qx plus Rx. This is known as the division algorithm where Px is equal to dividend, Gx is equal to divisor, Qx is equal to quotient and Rx is equal to remainder. This is the key idea to solve the given question. Let us start with the solution now. We know we are required to get the degree of Rx equal to 0. Now let Px is equal to 2x square plus 4x plus 7. Here the degree of Px is equal to 2. Let us assume Gx equal to 2x. Here the degree of Gx is equal to 1. Right? Now to find Qx and Rx we divide Px by 2x. Let us start with the division now. First of all we will multiply 2x with x to get 2x square. Now subtracting all like terms and rewriting the rest of the terms of the division we get 4x plus 7. Now we will multiply 2x with 2 to get 4x. Now again subtracting the like terms and rewriting the rest of the terms of the division we get 7 as the remainder equal to 2x square. Now we will check if the values of Px, Gx, Qx as by the division algorithm. Division algorithm is Gx multiplied by Qx. In their corresponding values we get 2x multiplied by x to the value of required answers completes the session. Hope you enjoyed the session. Bye-bye.