Question

Is my work correct? Factor X^2 + 9 in any method

Answer 1

STEP - BY - STEP EXPLANATION

What to find?

The factor of x² + 9

Observe from the expression above, the sign between the two term is positive.

If it were a negative, then we can easily apply the principle of difference of two square which will be

`\begin{gathered} x^2-9 \\ \\ x^2-3^2 \\ (x-3)(x+3) \end{gathered}`

But since the expression given is with a positive sign, then it is not factorable with any rational numbers.

ANSWER

x² + 9 is not factorable with any rational numbers.