Question

Give one example each of monomial and trinomial of degree 10.

Answer 1

Hint: To give an example of monomial and trinomial first we have to understand what is monomial and trinomial and also understand the degree of polynomial then we will be able to give an example of monomial and trinomial of degree 10.

Complete step-by-step answer:
So first we will understand monomial polynomials.
Monomial polynomial:
In mathematics a monomial is roughly a polynomial of which has only one term. Two definitions of monomial can be encountered: that is a monomial also called power product is a product of powers.
It has only one term.
Trinomial polynomial:
In elementary algebra, a trinomial polynomial is a polynomial consisting of three terms or we may say consisting three monomials.
Now we will understand the degree of a polynomial.
Degree of polynomial
The degree of a polynomial is the largest exponent on one of its variables ( for a single variable ) or the largest sum of exponents on variables in a single term ( for multiple variables ) .
Hence understanding all these we may give examples:
Monomial of degree 10 : $4{x^{10}}$ this is a monomial polynomial because it has only one term and its degree is 10 because the highest exponent is 10.
Trinomial of degree 10 : $3x + 4{x^2} + 6{x^{10}}$ this is a example of trinomial polynomial because it has three terms and degree is 10 because highest exponent in a single term is 10.

Note: Whenever we get this type of question the key concept of solving is we have to understand all the terms used in the question and when we get terms like 3x+4xy then care about degree here degree of expression is 2 not 1 because in a single term we have 1 degree of x and one degree of y so total power that is exponent of that term is 2.