whatwhat number must be subtracted from 2 x square - 5 x so that the resulting polynomial leaves the remainder 2 when divided by 2 X + 1
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Answer:
1
Step-by-step explanation:
Let say k must be subtracted from 2x² - 5x
so resulting Polynomial P(x) = 2x² - 5x - k
Remainder = 2 when divided by 2X +1
=> X = -1/2
P(-1/2) = 2
=> 2(-1/2)² - 5(-1/2) - k = 2
=> 1/2 + 5/2 - k = 2
=> 3 - k = 2
=> 1 = k
so 1 must be subtracted from 2x² - 5x
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