Classify the expression 7x³ + 2x² - 9x + 1 as a monomial, binomial, trinomial, or polynomial.

Solution:

Given, the expression is 7x³ + 2x² - 9x + 1.

We have to classify the expression.

1) Monomial is an algebraic expression which contains one term.

The given expression contains more than one term.

So the given expression is not monomial.

2) Binomial is an algebraic expression which contains two terms.

The given expression contains more than two terms.

So the given expression is not binomial.

3) Trinomial is an algebraic expression which contains three terms.

The given expression contains more than three terms.

So the given expression is not trinomial.

4) Polynomial is an algebraic expression that contains many terms.

The given expression contains many terms.

So the given expression is a polynomial.

Therefore, the given expression is a polynomial.

Classify the expression 7x³ + 2x² - 9x + 1 as a monomial, binomial, trinomial, or polynomial.

Summary:

The expression 7x3 + 2x2 - 9x + 1 is a polynomial. Polynomial is an algebraic expression that contains many terms.