Question

A student says that the function f (x) = –x² – 9 has the x-intercepts (-3,0) and (3,0). Is the student correct? If not, expl.

why. ​

Answer 1

No

Explanation:

The student is wrong because the function has no solutions.

You cannot factor it because the x² is negative.

If it was x² - 9 instead, you could factor it into (x-3)(x+3) which would get you the x-intercepts (-3,0) and (3,0).

But instead, -x² - 9 cannot be factored at all and has no x-intercepts/solutions.