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Use the quadratic formula to determine the existence of roots of the polynomial 3x2 + 21x + 36 (mod 769). Do all math using modulo
Use the quadratic formula to determine the existence of roots of the polynomial 3x2 + 21x + 36 (mod 769). Do all math using modulo arithmetic and show all work. If there are roots, give them and show that your answers are correct (i.e.: evaluate the expression and show it is equivalent to 0 mod 769). If there are no roots, explain why. Remember that to answer this question, the mathematical operations in the quadratic formula must be performed modulo 769. How do you know that you have found all the roots?
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