Roots and Degrees

determine an equation of degree 3 with roots x=3 +- i and x=-4
Is this equation unique?

thanks for help!i have no idea oh how to formulate an equation with those roots

Quote:

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Originally Posted by monkius

determine an equation of degree 3 with roots x=3 +- i and x=-4
Is this equation unique?

thanks for help!

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a cubic equation with roots $\displaystyle r_1,~r_2,~r_3$ can be written as $\displaystyle a(x - r_1)(x - r_2)(x - r_3)$

this is not unique. because you can have different values for $\displaystyle a$