Complex Numbers Question
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Grade 11 Complex Numbers CCSS: HSN-CN.C.8
For the polynomial P(x)=(ax)3+b3, a,b∈ℝ, and where a,b are positive, if 1+√3i is a root, and in fully factored form there is a leading constant of 8, what are the coefficients a,b? (Assume that the coefficient of 8 has come from factoring out a 2 from each of the three factors of P(x)).
- a=1,b=2
- a=1,b=4
- a=2,b=4
- Not enough information to solve.