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Formation of a Quadratic Equation From It's Roots

If α, β are t...

Question

If α, β are the zeros of the polynomial p(x) = 4x² + 3x + 7, then $\frac{1}{α} + \frac{1}{β}$ is equal to

(a) $\frac{7}{3}$
(b) $- \frac{7}{3}$
(c) $\frac{3}{7}$
(d) $- \frac{3}{7}$

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Solution

Since and are the zeros of the quadratic polynomial

We have

The value of is.

Hence, the correct choice is

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Formation of a Quadratic Equation From It's Roots

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