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Let `p(x)=0` be a polynomial equation of the least possible degree, with rational coefficients having `""^(3)sqrt7 +""^(3)sqrt49` as one of its roots. Then product of all the roots of `p(x)=0` is
a. `56` b. `63` c. `7` d. 49

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56
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VIKAS GUPTA (BLACK BOOK) ENGLISH-QUADRATIC EQUATIONS -EXERCISE (SUBJECTIVE TYPE PROBLEMS)
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  15. Consider the equation x ^(3) -ax ^(2) +bx-c=0, where a,b,c are ration...

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  16. Let alpha satisfy the equation x ^(3) +3x ^(2) +4x+5=0 and beta satisf...

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  17. Let x,y and z are positive reals and x ^(2) + xy + y ^(2)=2,y ^(2)+yz+...

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  18. The number of ordered pairs (a,b) where a,b are integers satisfying th...

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  20. If the range of the values of a for which the roots of the equation x ...

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