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P(x) is a polynomial. When P(x) is divided by (5x-2), the remainder is R . If P(x) is...

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christiano-cr7 | (Level 1) Salutatorian

Posted September 2, 2013 at 3:26 AM via web

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P(x) is a polynomial. When P(x) is divided by (5x-2), the remainder is R . If P(x) is divided by (2-5x), then the remainder is

A. R

B. − R

C. (2/5) R

D. 2/5

E. −2/5

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jeew-m | College Teacher | (Level 1) Educator Emeritus

Posted September 2, 2013 at 3:30 AM (Answer #1)

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When p(x) is divided by `(5x-2)` the remainder is  R.

Using remainder theorem `5x-2 = 0rarrx=2/5`

By the definition of remainder theorem;

`R=p(2/5)`

When p(x) divided by `2-5x` then;

`2-5x =0`

`x=2/5`

So still the remainder is R.

Correct answer is A)

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