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The remainder if 4x4 - 7x3 + 2x2 - 5x + 3 is divided by x - 2 is 9

Polynomial function

Given thee function 4x4 - 7x3 + 2x2 - 5x + 3, if it is divided by x - 2, hence to get the remainder,

First, you will equate x - 2 to 0 to find x

  • x - 2 = 0
  • x = 2

Get P(2)

P(2) = 4(2)^4 - 7(2)^3  + 2(2)^2 - 5(2) + 3

P(2) = 64 - 56 + 8 - 7

P(2) = 9

Hence the remainder if 4x4 - 7x3 + 2x2 - 5x + 3 is divided by x - 2 is 9

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