Question

State whether the given algebraic expression is polynomial? Justify.
$x^2+7x+9$

Answer 1

The given algebraic expression is $x^2+7x+9$.

We know that, an algebraic expression in which the variable involved has only non-negative integral powers is called a polynomial.

Here, we have,

$x^2+7x+9=x^2+7x^1+9$

This is a polynomial. Because the variable $x$ has exponent $2$ in first term and exponent $1$ in second term, which are both non-negative integers.

Hence, the given algebraic expression is a polynomial.