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If `x=1 and x=2` are solutions of equations `x^3+a x^2+b x+c=0 and a+b=1,` then find the value of `bdot`

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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. A polynomial in x of degree 3 vanishes when x=1 and x=-2 , ad has the ...

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  2. Let f(x)=a^2+b x+c where a ,b , c in R and a!=0. It is known that f(5...

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  3. If x=1 and x=2 are solutions of equations x^3+a x^2+b x+c=0 and a+b=1,...

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  4. If x in R ,a n da ,b ,c are in ascending or descending order of magni...

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  5. Prove that graphs y=2x-3 and y=x^2-x never intersect.

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  6. Which of the following pair of graphs intersect? y=x^2-xa and y=1 y...

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  7. If alphaa n dbeta are the rootsof he equations x^2-a x+b=0a n dAn=alp...

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  8. If alpha,beta are the roots of x^2+p x+q=0 and gamma,delta are the roo...

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  9. If the equations a x^2+b x+c=0 and x^3+3x^2+3x+2=0 have two common roo...

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  10. The value m for which one of the roots of x^2-3x+2m=0 is double of one...

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  11. Let p(x)=0 be a polynomial equation of the least possible degree, with...

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  12. The number of values of a for which equations x^3+a x+1=0 and x^4+a x^...

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  13. If (mr ,1/mr) where r=1,2,3,4, are four pairs of values of x and y ...

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  14. If alpha,beta,gamma,sigma are the roots of the equation x^4+4x^3-6x^2+...

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  15. If tantheta1,tantheta2,tantheta3 are the real roots of the x^3-(a+1)x...

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  16. If roots of an equation x^n-1=0a r e1,a1,a2,..... a(n-1), then the v...

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  17. If alpha,beta are the roots of a x^2+b x+c=0,(a!=0) and alpha+delta,be...

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  18. Let f(x)=A x^2+B x+c ,w h e r eA ,B ,C are real numbers. Prove that if...

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  19. Let S be a square of unit area. Consider any quadrilateral which has o...

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  20. The real numbers x1, x2, x3 satisfying the equation x^3-x^2+b x+gamma=...

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