The degree of the polynomial $p(x) = 3x - x^4 + x^2 + 2x^3 + 7$ is ..........

  • A
    $2$
  • B
    $3$
  • C
    $-4$
  • D
    $4$

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The zeros of the cubic polynomial $p(x) = ax^3 + bx^2 + cx + d$; where $a \neq 0$ and $a, b, c, d \in R$,are $\alpha, \beta$,and $\gamma$. Then $\alpha + \beta + \gamma = \ldots$

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The product of two polynomials is $x^{5}+3x^{4}+5x^{3}+3x^{2}+9x+15$. If one of them is $x^{2}+3$,find the other polynomial.

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Identify the type of the following polynomial based on its degree: $p(x) = (x - 15)(x + 15)$

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