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Let f(x) =x^2+bx+c, where b,c inR. If f(...

Let f(x) =`x^2+bx+c`, where b,c `in`R. If f(x) is a factor of both `x^4+6x^2+25` and `3x^4+4x^2+28x+5`, then the least value of f(x) is

A

2

B

3

C

44232

D

4

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D
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PATHFINDER-QUADRATIC EQUATION AND EXPRESSION-QUESTION BANK
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  3. Let f(x) =x^2+bx+c, where b,c inR. If f(x) is a factor of both x^4+6x^...

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  4. Find the remainder when the polynomial is divided by (x-1)(x-2), if it...

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  5. If f(x)=x-[x],x(phi0)inR, where [x] is greatest integer less than or e...

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  6. The inequation 3^72(1/3)^x(1/3)^sqrtxgt1 for all x belongs to

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  8. Let f(x)=ax^2+bx+c,b,cinR,aphi0, satisfying f(1)+f(2) <brge0.then the ...

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  9. The value of alpha, for which the equation x^2-(sinalpha-2)x-(1+sinalp...

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  10. The equation abs(x+1) abs(x-1)=a^2-2a-3 can have real solutions for x ...

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  11. Solution set of x satisfying x^2-abs(x+2)+xgt0 is

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  12. Let a,b,c be the sides fo a triangle where anebnec and lamdainR,if roo...

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  13. Let alpha,beta,gamma be the roots of f(x)=0, where f(x)=x^3+x^2-5x-1. ...

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  14. The entire graphs of the equation y=x^2+kx-x+9 is strictly above the x...

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  15. The largest interval for which x^12-x^9+x^4-x+1gt0 is

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  16. The quadratic equations x^2-6x+a=0 and x^2-cx+6=0 have one root in com...

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  17. If alpha and beta are the roots of the equation ax^2+bx+c=0 ,a ne 0,a,...

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  18. Roots of the quadratic equation (x^2-4x+3)+lamda(x^2-6x+8)=0,lamdainR ...

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  19. The number of real solution of the equation absx^2-4absx+3=0 is

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  20. For what values of KinR the expression 2x^2+Kxy+3y^2-5y-2 can be expre...

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