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The polynomial f(x)=x^4+a x^3+b x^3+c x+...

The polynomial `f(x)=x^4+a x^3+b x^3+c x+d` has real coefficients and `f(2i)=f(2+i)=0.` Find the value of `(a+b+c+d)dot`

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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. Find the range of f(x)=x^2-x-3.

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  2. If the fraction (x^3 +(a-10)x^2-x+a-6)/(x^3 +(a-6)x^2-x+a-10)reduces t...

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  3. The polynomial f(x)=x^4+a x^3+b x^3+c x+d has real coefficients and f(...

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  4. Find the value of i^n+i^(n+1)+i^(n+2)+i^(n+3) for all n in Ndot

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  5. If the quadratic equation a x^2+b x+c=0(a >0) has sec^2thetaa n dcos e...

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  6. Find the value of 1+i^2+i^4+i^6++i^(2n)

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  7. Let x ,y ,z in R such that x+y+z=6a nd x y+y z+z x=7. Then find the...

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  8. Show that the polynomial x^(4p)+x^(4q+1)+x^(4r+2)+x^(4s+3) is divisibl...

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  9. if ax^2+bx+c = 0 has imaginary roots and a+c lt b then prove that 4a+...

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  10. Solve: i x^2-3x-2i=0,

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  11. Let a ,b ,a n dc be distinct nonzero real numbers such that (1-a^3)/a...

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  12. Express each one of the following in the standard form a+i bdot (5+...

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  13. If the cubic 2x^3-9x^2+12 x+k=0 has two equal roots then minimum valu...

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  14. If z=4+isqrt(7) , then find the value of z^2-4z^2-9z+91.

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  15. If the quadratic equation4x^2-2(a+c-1)x+a c-b=0(a > b > c) (a...

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  16. If (a+b)-i(3a+2b)=5+2i , then find aa n dbdot

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  17. If the equation x^2=a x+b=0 has distinct real roots and x^2+a|x|+b=0 h...

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  18. Given that x, y in R. Solve: x/(1+2i)+y/(3+2i)=(5+6i)/(8i-1)

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  19. If the equation |x^2+b x+c|=k has four real roots, then A. b^2-4cgt...

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  20. If P(x) is a polynomial with integer coefficients such that for 4 dist...

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