Question

Which of the following polynomials is/are trinomial?

• A. $x^2$ + 4
• B. $x^4$ + $x^2$ + 1
• C. $xy$ + $y^2$ + 3
• D. $x+2y$

Answer 1

Answer: (B), (C)

The correct options are
B $x^4$ + $x^2$ + 1
C $xy$ + $y^2$ + 3

A trinomial is a polynomial with three terms.

$x^2$ + 4 has only two terms, $x^2$ and 4.

$x^4$ + $x^2$ + 1 has three terms, $x^4$, $x^2$ and 1.

$xy$ + $y^2$ + 3 has three terms, $xy$, $y^2$ and 3.

$x+2y$ has only two terms, $x$ and $2y$ .

$\therefore$ $x^4+x^2+1$ and $xy+y^2+3$ are trinomials.