The given product is, (x + 2) (x + 7).
We can expand the product as,
[tex](x+a)(x+b)=x^2+x(a+b)+ab[/tex]Applying the expansion, we have,
[tex]\begin{gathered} (x+2)(x+7)=x^2+x(2+7)+(2\times7) \\ \text{ =x}^2+9x+14 \end{gathered}[/tex]A polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
Since the resultant satisfies this condition, the resultant is also a polynomial.
