 Hi and welcome to the session. I am Asha and I am going to help you with the following question which says classify the following as linear quadratic and cubic polynomials. So first let us learn what are linear polynomials, quadratic polynomials and cubic polynomials. So starting with the linear polynomial of degree 1 is said to be a linear polynomial it is of the form a x plus b where a and b are constants and a is not equal to 0. quadratic polynomials are the polynomials of degree 2 it is of the form a x square plus b x plus c where a b and c are constants and a is not equal to 0 and cubic polynomials are the algebraic expressions whose degree is 3 and it is of the form a x square a x cube plus b x square plus c x plus d where a is not equal to 0 and a b c d are constants. So this is a key idea of which we should be aware of before answering the following question. Now let us start with the first one which is x square plus x now on observing this polynomial we find that here the variable is whose highest degree is it is a quadratic polynomial this completes the first part now proceeding on to the second one which is x minus x cube here the variable is whose highest exponent is this implies the degree of this polynomial is 3 polynomial having degree 3 is a cubic polynomial therefore this given polynomial is a cubic polynomial so this completes the second part now proceeding on to the third one which is y plus y square plus 4 now here the variable of this polynomial is y whose highest exponent is 2 this implies the degree of this polynomial is and the polynomial having degree 2 is a quadratic polynomial therefore this polynomial is a quadratic polynomial and this completes this part now proceeding on to the next one which is 1 plus x now on observing this polynomial we find that here the variable is x whose highest exponent is 1 a degree of this polynomial is equal to 1 and hence it is a linear polynomial so completes the fourth part proceeding on to the fifth one which is 3 t and then this polynomial this is a monomial this is that only one term and the variable this polynomial is t whose highest exponent is 1 this implies degree is equal to 1 and hence this is also a linear polynomial so this completes the first part and now proceeding on to the next one which is r square now here the variable is whose highest exponent is 2 and so this implies its degree is equal to 2 and hence it is a quadratic polynomial this completes the sixth part proceeding on to the last one which is 7 x cube now here the variable is x whose highest exponent is 3 a polynomial with degree 3 is a cubic polynomial and hence this polynomial is a cubic polynomial this completes the solution hope you enjoyed it take care and have a good day