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Relationship Between Zeroes and Coefficients of a Quadratic Polynomial

If ɑ and β ar...

Question

If ɑ and β are zeros of the quadratic polynomial $2 x^{2} - x + 4$ , then $(\frac{1}{α} + 1) (\frac{1}{β} + 1)$ = ______

\frac{15}{4}

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\frac{17}{4}

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- \frac{9}{4}

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- \frac{7}{4}

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Solution

The correct option is B $\frac{17}{4}$

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