What number must be subtracted from 2x² - 5x so that resulting polynomial leaves remainder 2 when divided by 2x + 1 ?
Factorisation
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Question

What number must be subtracted from 2x² - 5x so that resulting polynomial leaves remainder 2 when divided by 2x + 1 ?

KnowledgeBoat · Accepted Answer

Let the number to be subtracted be a. So, polynomial = 2x² - 5x - a By remainder theorem, on dividing f(x) by (x - b) , remainder = f(b) ∴ On dividing, f(x) = 2x² - 5x - a by (2x + 1) or 2(x - ) Remainder = f Given, remainder = 2 Hence, the value of a is 1.

Mathematics

What number must be subtracted from 2x² - 5x so that resulting polynomial leaves remainder 2 when divided by 2x + 1 ?

Factorisation

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Mathematics

What number must be subtracted from 2x2 - 5x so that resulting polynomial leaves remainder 2 when divided by 2x + 1 ?

Factorisation

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