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Let f(x)=x^2+b x+c ,w h e r eb ,c in Rd...

Let `f(x)=x^2+b x+c ,w h e r eb ,c in Rdot` If `f(x)` is a factor of both `x^4+6x^2+25a n d3x^4+4x^4+28 x+5` , then the least value of `f(x)` is `2` b. `3` c. `5//2` d. `4`

Text Solution

Verified by Experts

The correct Answer is:
4
`f(x)` will also be a factor of `3(x^(4)+6x^(2)+25)-(3x^(4)+4x^(2)+28+5)`. Which equals `14(x^(2)-2x+5)`.
So, `f(x)=x^(2)-2x+5 le 4`
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