Question

9. Write a function with the given characteristics.
A polynomial with rational coefficients having roots 3, 3, and 3 − i
Help Please

Answer 1

complex roots ravel in pairs, known as conjugates

so if there is a root \(r_{\alpha} = 3 - i\) then there is a root \(r_{\beta} = 3 + i\)

and \((x - r_{\alpha})(x-r_{\beta}) = x^2 - 6x + 10\)

if you also have repeated root \(x = 3\), you have \((x+3)^2\)

So you have:
\((x^2 - 6x + 10 ) (x+3)^2 = x^4 - 17 x^2 + 6 x + 90\)

Answer 2

Hey Irish , are you good at Physics

Answer 3

nah mate.

i only do polynomial factoring

what about you?