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If `n` is n odd integer that is greater than or equal to 3 but not a multiple of 3, then prove that `(x+1)^n-x^n-1` is divisible by `x^3+x^2+xdot`

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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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  2. Let f(x)=ax^2-bx+c^2, b != 0 and f(x) != 0 for all x ∈ R. Then (a) ...

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  3. If n is n odd integer that is greater than or equal to 3 but not a mul...

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  4. If a ,b in R ,a!=0 and the quadratic equation a x^2-b x+1=0 has imagi...

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  5. Find the complex number omega satisfying the equation z^3=8i and lyi...

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  6. If the expression [m x-1+(1//x)] is non-negative for all positive real...

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  7. When the polynomial 5x^3+M x+N is divided by x^2+x+1, the remainder is...

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  8. x1 and x2 are the roots of a x^2+b x+c=0 and x1x2<0. Roots of x1(x-x2)...

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  9. ifomegaa n domega^2 are the nonreal cube roots of unity and [1//(a+ome...

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  10. If a ,b ,c ,d are four consecutive terms of an increasing A.P., then t...

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  11. Find the relation if z1, z2, z3, z4 are the affixes of the vertices of...

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  12. Let a and b are the roots of the equation x^2-10 xc -11d =0 and those...

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  13. If z1, z2, z3 are three nonzero complex numbers such that z3=(1-lambda...

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  14. Fill in the blanks The coefficient of x^(99) in the polynomial (x-1)...

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  15. Let z1, z2, z3 be three complex numbers and a ,b ,c be real numbers no...

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  16. Fill in the blanks If 2+isqrt(3) is a root of the equation x^2+p x+q=0...

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  17. Prove that the triangle formed by the points 1,(1+i)/(sqrt(2)),a n di ...

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  18. Fill in the blanks. If the product of the roots of the equation x^2-3k...

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  19. Solve for z : z^2-(3-2i)z=(5i-5)dot

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  20. If the equations x^2+ax+b=0 and x^2+bx+a=0 have one common root. Then ...

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