Question

Factorise (include complex factors)

z^2 + 3z + 11

Answer 1

Complete the square

\[(z \pm ?)(z \pm ?)\]

Answer 2

find the zeros
they will be complex, one being the conjugate of the other
lets call them \(a+bi\) and \(a-bi\)
then your answer is
\[(z-(a+bi))(z-(a-bi))\]

Answer 3

you find the zeros using the quadratic formula

Answer 4

Use the quadratic formula for this...

Answer 5

Ohhhhh I got it! Thanks so much