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Let x^3+ax^2+bx+c be the given cubic pol...

Let `x^3+ax^2+bx+c` be the given cubic polynomlal and f(x) = 0 be the corresponding cubic equation, where a,b,c, `in` R
Now,`f(x)=3x^2+2ax+b` Let `D=4a^2-12b=4(a^2-3b)` be the discriminant of the equation f(x) = 0 then
If `D=4a^2-12b=(a^2-3b)lt0.` then the roots of the equation f(x) = 0 will be

A

f(x) has all real roots

B

f(x)has one real and two imaginary roots

C

f(x)has repeated roots

D

None of the above

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The correct Answer is:
B
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PATHFINDER-APPLICATION OF DERIVATIVE-QUESTION BANK
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