Mark from the following, a factor of the polynomial $2 x^{2} - 3 x - 5$ .

x - 1

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2 x - 3

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2 x - 5

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2 x + 5

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3 x + 5

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Solution

The correct option is A $2 x - 5$
$2 x^{2} - 3 x - 5$
$\Rightarrow 2 x^{2} - 5 x + 2 x - 5$
$\Rightarrow x (2 x - 5) + 1 (2 x - 5)$
$\Rightarrow (x + 1) (2 x - 5)$
$∴ (2 x - 5)$ is a factor of the polynomial $2 x^{2} - 3 x - 5$

Suggest Corrections

Similar questions

x^{5} - 2 x^{2} - 3 x

x^{3} + 3 x^{2} + 1

x + 6 - 3 x - 5 - 2 (x - 5) = 2 x - 9 - 2 x + 5 - 3 (x + 1)

\frac{2 x - 3}{2 x - 1} = \frac{3 x - 1}{3 x + 5}

p (x) = 2 x^{3} - 3 x^{2} - 5

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