Classify the following expressions as monomials, binomials or trinomials.

(1) x² – 2x + 3

(2) 8y

(3) 2a³ – 5

(4) 3 – 11b

(5) 17M⁴

(6) 6N² – N + 5

(7) 35 + x³ – 7x

(8) 51

(9) 13 – 8y³

(10) 1 – 4p² + 12p

(1) A polynomial is said to be trinomial if it contains only three term in its entire expression.

So in the given expression, we have three terms. One is x², second is -2x and the third term is 3.

So the given polynomial is a trinomial.

(2) A polynomial is said to be monomial if it contains only one term in its entire expression.

In the above polynomial, there is only one term which 8y and hence this term is a monomial.

(3) A polynomial is said to be binomial if it contains only two term in its entire expression.

So in the given expression, we have two terms. One is 2a³, second is -5 and hence this term is a binomial.

(4) A polynomial is said to be binomial if it contains only two term in its entire expression.

So in the given expression, we have two terms. One is -11b, second is 3 and hence this term is a binomial.

(5) A polynomial is said to be monomial if it contains only one term in its entire expression.

In the above polynomial, there is only one term which 17m⁴ and hence this term is a monomial.

(6) A polynomial is said to be trinomial if it contains only three term in its entire expression.

So in the given expression, we have three terms. One is 6n², second is -n and the third term is 5.

So the given polynomial is a trinomial.

(7) A polynomial is said to be trinomial if it contains only three term in its entire expression.

So in the given expression, we have three terms. One is x³, second is -7x and the third term is 35.

So the given polynomial is a trinomial.

(8) A polynomial is said to be monomial if it contains only one term in its entire expression.

In the above polynomial, there is only one term which 51 and hence this term is a monomial.

(9) A polynomial is said to be binomial if it contains only two term in its entire expression.

So in the given expression, we have two terms. One is -8y³, second is 13 and hence this term is a binomial.

(10) A polynomial is said to be trinomial if it contains only three term in its entire expression.

So in the given expression, we have three terms. One is -4p², second is 12p and the third term is 1.

So the given polynomial is a trinomial.