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The quadratic polynomial p(x) has the fo...

The quadratic polynomial `p(x)` has the following properties:`p(x)geq0` for all real numbers, `p(1)=0 and p(2)=2` . Find the value of `p(3)` is__________.

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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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  2. In how many points graph of y=x^3-3x^2+5x-3 intersect the x-axis?

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  3. The quadratic polynomial p(x) has the following properties:p(x)geq0 fo...

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  5. A polynomial in x of degree 3 vanishes when x=1 and x=-2 , ad has the ...

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

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

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  10. Which of the following pair of graphs intersect ? (i) y = x^(2) - x ...

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  12. If alpha,beta be the roots x^2+px-q=0 and gamma,delta be the roots of ...

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  13. 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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  15. LetP(x)=0 be the polynomial equation of least possible degree with rat...

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

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