Question

How do you rewrite x^2+9 as multiplication using complex numbers and the polynomial u^2+v^2=(u+vi)(u-vi)

Answer 1

plug into the formula you were given

Answer 2

example
x^2+4=(x+2i)(x-2i

Answer 3

So x^2+9=(x+3i)(x+3i)?

Answer 4

Wait it would be (x+3i)(x-3i)

Answer 5

\[x^2+9=x^2-\left( -9 \right)=x^2-\left( 3\iota \right)^2=?\]

Answer 6

So I was right?

Answer 7

yes (x+3i)(x-3i) is correct

Answer 8

Awesome thank you!

Answer 9

np