What number must be subtracted from 2x²-5x so that the resulting polynomial leaves remainder 2 when divided by 2x+1 ?
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Answered by
5
Answer:
Let say m must be subtracted from 2x² - 5x
Resulting Polynomial P(x) = 2x² - 5x - m
Remainder = 2 when divided by 2X +1
> X = -1/2
P(-1/2) = 2
> 2(-1/2)² - 5(-1/2) - m = 2
> 1/2 + 5/2 - m = 2
> 3 - m = 2
> 1 = m
So, 1 has to be subtracted from 2x² - 5x
Therefore, 1 would be the answer.
Thanks.
Answered by
2
Answer:
>3-m=2
>1=m
Step-by-step explanation:
>3-m=2
>1=m
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