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Answer :

DᴀʀᴋPᴀʀᴀᴅᴏxgo

Let's evaluate the value of given polynomial function, at x = -2

that is p(-2) :

  • [tex]5 {x}^{3} + 8 {x}^{2} - 3x + 1[/tex]

  • [tex]5( - 2) {}^{3} + 8( - 2) {}^{2} - 3( - 2) + 1[/tex]

  • [tex](5 \times ( - 8)) + (8 \times 4) - ( - 6) + 1[/tex]

  • [tex] - 40 + 32 + 6 + 1[/tex]

  • [tex]39 - 40[/tex]

  • [tex] - 1[/tex]

Hence, correct option is B. p(-2) = -1

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