ineedhelponmyfinal
ineedhelponmyfinal ineedhelponmyfinal
  • 21-06-2020
  • Mathematics
contestada

if the polynomial p(x) is being divided my x-r, the remainder is p(r) TRUE OR FALSE

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Lightx
Lightx Lightx
  • 21-06-2020

Answer:

True. Remainder when divided by (x-r) is p(r).

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mhanifa
mhanifa mhanifa
  • 21-06-2020

Answer:

TRUE

Step-by-step explanation:

Let p(x) is divided by (x-r)

Then, by division algorithm of polynomials

  • p(x) = (x-r) Q(x) + R

R is the remainder and it is a constant because according division algorithm degree of remainder is always less than degree of divisor and greater than Or equal to 0. So it is 0.

Q(x) is quotient.

Now, if we particularly put x = r in the equation, we get.

  • p(r) = ( r-r) Q(r) + R
  • p(r) = R
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