Algebra 2 Quiz
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COMPLEX NUMBERS IN POLYNOMIALS
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Over the real numbers, a quadratic ax2+bx+c=0ax^2+bx+c=0 can have 0, 1, or 2 real solutions. Over the complex numbers, it always has exactly 2 solutions counting multiplicity. The discriminant b2−4acb^2-4ac determines the solution type: >0>0 two distinct real, =0=0 one repeated real (multiplicity 2), <0<0 two complex conjugates. For x2+6x+9=0x^2+6x+9=0, which statement is correct?
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