How do you factor #x^2 + 9 #?

Answer 1

#x^2+9# has no (Real) factors (Unlike #x^2-9#)

The most you could do with this is use the quadratic formula on #color(white)("XXXX")##x^2+0*x+9# to get #color(white)("XXXX")##+-3i#

So you could factor using Complex values: #color(white)("XXXX")##x^2+9 = (x+3i)(x-3i)#

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Answer 2

Kennedy Adams

( x^2 + 9 ) is a sum of squares and cannot be factored further over the real numbers. However, if factoring over the complex numbers is allowed, it can be factored as ( (x + 3i)(x - 3i) ), where ( i ) is the imaginary unit.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.