Complex Numbers

Problem : Find all roots, real and complex, of the following polynomial: x ² + 4 .

Problem : Find all roots, real and complex, of the following polynomial: x ⁴ - x ³ - x ² - x - 2 .

Problem : If 3ı is a root of a polynomial, what must one other root be?

Problem : Find all roots, real and complex, of the following polynomial: x ³ +4x ² + 25x + 100 .

Problem : Find all roots, real and complex, of the following polynomial: x ⁴ +2x ² - 3 .

Solution for Problem 5 >>

x = {1, -1,ı, - ı} .

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Problem : Find all roots, real and complex, of the following polynomial: x ⁸ +2x ⁷ +4x ⁶ +8x ⁵ - x ⁴ -2x ³ -4x ² - 8x .