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If the quadratic polynomials defined on ...

If the quadratic polynomials defined on real coefficient
`P(x)=a_(1)x^(2)+2b_(1)x+c_(1)` and `Q(x)=a_(2)x^(2)+2b_(2)x+c_(2)` take positive values `AA x in R`, what can we say for the trinomial `g(x)=a_(1)a_(2)x^(2)+b_(1)b_(2)x+c_(1)c_(2)` ?

A

`f (x) lt 0 AA x in R`

B

`f (x) gt 0 AA x in R`

C

`f (x)` takes both positive and negativce values

D

Nothing can be said about `f (x)`

Text Solution

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The correct Answer is:
B
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