Math, asked by ayushrajput9b, 8 months ago

find remainder when x^3-3x^2+4x-12 divided by x-3

Answers

Answered by amansharma264
1

Answer:

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Answered by BrainlyVanquisher
3

Question:-

  • Find the remainder when x³ - 3x² + 4x - 12 is divided by x - 3.

Answer: -

  • Dividing x³ - 3x² + 4x - 12 by x - 3,

  • Dividend: x³ - 3x² + 4x - 12

  • Divisor : x - 3

Now,

  • Put divisor as 0,

  • x - 3 = 0

  • .°. x = 3

Now,

  • Let p (x) = x³ - 3x² + 4x - 12

Putting value of x,

  • p(3) = (3)³ - 3(3)² + 4(3) - 12

  • = 27 - 27 + 12 - 12

  • = 0 + 0

  • = 0

Thus, remainder = p(3) = 0

So, the remainder when x³ - 3x² + 4x - 12 is divided by x - 3 is 0.

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