Condition of rational roots of 3rd degree equation
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★ CUBIC RESOLUTION ★
Conditions for having rational degree roots in any cubic polynomialic equation -
Consider general cubic equation :
ax³ + bx² + cx + d = 0
All the coefficients should be real and a ≠ 0 , behaviour and nature of roots may vary aslike , rational conjugate pairs or irrational conjugated pairs or may be complex conjugate pairs , but for sure , one root will be real according to cardan's solution of resolving cubic equations , so , these were the few basic points to consider about cubic polynomials
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Conditions for having rational degree roots in any cubic polynomialic equation -
Consider general cubic equation :
ax³ + bx² + cx + d = 0
All the coefficients should be real and a ≠ 0 , behaviour and nature of roots may vary aslike , rational conjugate pairs or irrational conjugated pairs or may be complex conjugate pairs , but for sure , one root will be real according to cardan's solution of resolving cubic equations , so , these were the few basic points to consider about cubic polynomials
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