What will be the Quotient when $4 x^{3} - 8 x^{2} - x + 5$ is divided by $2 x - 1$ ?

2 x^{2} - 3 x - 2

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3 x^{2} - 6 x - 2

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4 x^{2} - 6 x + 4

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2 x^{2} - 6 x - 2

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Solution

The correct option is B $2 x^{2} - 3 x - 2$
Given: equation $4 x^{3} - 8 x^{2} - x + 5$
To find the quotient when divided by $2 x - 1$
Sol: $2 x - 1) ¯ ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ ¯ 4 x^{3} - 8 x^{2} - x + 5 (2 x^{2} - 3 x - 2) 4 x^{3} - 2 x^{2} ¯ ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ ¯ - 6 x^{2} - x - 6 x^{2} + 3 x ¯ ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ ¯ - 4 x + 5 - 4 x + 2 ¯ ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ ¯ 3$

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