Identify the type of the given polynomial based on its degree: $p(x) = 2012x + 2011$.

  • A
    Constant polynomial
  • B
    Linear polynomial
  • C
    Quadratic polynomial
  • D
    Cubic polynomial

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Identify the type of the following polynomial based on its degree: $p(x) = 7x^2 - 5x^3 + 3$.

If the zeros of the cubic polynomial $p(x) = ax^3 + bx^2 + cx + d$ $(a \neq 0)$ are $\alpha, \beta,$ and $\gamma,$ then $\frac{1}{\alpha} + \frac{1}{\beta} + \frac{1}{\gamma} = \dots$

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The product of two polynomials is $x^{2}+8x+15$. If one of the polynomials is $(x+3)$,then the other polynomial is $\ldots \ldots$

For the given sum and product of zeroes,find a quadratic polynomial. Also,find the zeroes of this polynomial by factorisation:
Sum of zeroes = $\frac{-3}{2 \sqrt{5}}$,Product of zeroes = $-\frac{1}{2}$

The zeros of $p(x) = 2 + x - x^{2}$ are.......

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