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Let P(x) and Q(x) be two polynomials. If...

Let P(x) and Q(x) be two polynomials. If `f(x) = P(x^4) + xQ(x^4)` is divisible by `x^2 + 1`, then

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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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  2. If a+b+c=0,a^2+b^2+c^2=4,t h e na^4+b^4+c^4 is.

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  3. Let P(x) and Q(x) be two polynomials. If f(x) = P(x^4) + xQ(x^4) is di...

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  4. Find the solution set of the system x+2y+z=1 2x-3y-w=2 xgeq0,ygeq0,zge...

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  5. If amp(z1z2)=0 and absz1=absz2=1, then

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  6. mn squares of equal size are arranged to form a rectangle of dimension...

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  7. Prove that ln(1+x) < x for x > 0.

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  8. Form a quadratic equation whose roots are -4 and 6.

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  9. If |(z-z1)/(z-z2)|=3,w h e r ez1a n dz2 are fixed complex numbers and ...

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  10. If a,b,c are odd integere then about that ax^2+bx+c=0, does not have r...

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  11. if arg(z+a)=pi/6 and arg(z-a)=(2pi)/3 then

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  12. Values (s)(-i)^(1/3) is/are (sqrt(3)-i)/2 b. (sqrt(3)+i)/2 c. (-sqrt(...

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  13. if costheta , sinphi , sintheta are in g.p then check the nature of ro...

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  14. Given z=(1+isqrt(3))^(100), then [Re(z)//Im(z)] equals (a)2^(100) ...

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  15. If a ,b ,c are non zero rational no then prove roots of equation (a b ...

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  16. If a b+b c+c a=0, then solve a(b-2c)x^2+b(c-2a)x+c(a-2b)=0.

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  17. If (costheta +isintheta)(cos2theta +isin2theta).....(cosntheta + isinn...

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  18. The polynomial x^6+4x^5+3x^4+2x^3+x+1 is divisible by where omega is o...

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  19. If roots of equation 3x^2+5x+1=0 are (sectheta1-t a ntheta1) and (cos ...

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  20. If roots of the equation a x^2+b x+c=0 be a quadratic equation and α,β...

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