When we subtract a monomial from a trinomial, then the answer can be a polynomial. State whether the statement is true or false

Solution:

Given, when we subtract a monomial from a trinomial, then the answer can be a polynomial.

We have to determine if the given statement is true or false.

A polynomial is an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable.

Expression with one term is called a 'Monomial’.

Consider a monomial x²

Expression with three unlike terms is called a 'Trinomial’.

Consider a trinomial x² - y² + xy

Now, subtract monomial from the trinomial

= x² - y² + xy - x²

By distributive property,

= (1 - 1)x² - y² + xy

= - y² + xy

Now, - y² + xy is a binomial, which in turn represents a polynomial

Therefore, the given statement is true.

✦ Try This: When we add a monomial and a binomial, then the answer can be a monomial. State whether the statement is true or false

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 12

NCERT Exemplar Class 7 Maths Chapter 10 Problem 51

When we subtract a monomial from a trinomial, then the answer can be a polynomial. State whether the statement is true or false

Summary:

The given statement,”When we subtract a monomial from a trinomial, then the answer can be a polynomial” is true

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