Which algebraic expression is a trinomial?
x³ + x² - √1, 2x³ - x² , 4x³ + x² - 1/x, x⁶ - x +√6

Solution:

“A trinomial is an algebraic expression that has three non-zero terms”.

(i) The given algebraic expression, x³ + x² - √1, is a trinomial with one variable ‘x’, having three non-zero terms.

(ii) The given algebraic expression, 2x³ - x², is NOT a trinomial. This expression is a binomial with one variable ‘x’, having two non-zero terms.

(iii) The given algebraic expression, 4x³ + x² - 1/x, is a trinomial with one variable ‘x’, having three non-zero terms.

(iv) The given algebraic expression, x⁶ - x +√6, is a trinomial with one variable ‘x’, having three non-zero terms.

Which algebraic expression is a trinomial?
x³ + x² - √1, 2x³ - x² , 4x³ + x² - 1/x, x⁶ - x +√6

Summary:

The algebraic expressions, x³ + x² - √1, 4x³ + x² - 1/x, x⁶ - x +√6 are trinomial and 2x³ - x² is a binomial.