Question

Find the quadratic polynomial whose sum and product of the zeroes are 21/8and5/16 respectively

Answer 1

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Answer 2

The quadratic polynomial whose sum and product of the zeroes are 21/8 and 5/16 respectively is: $16x^2 - 42x + 5 = 0$

Solution:

The general form of quadratic equation is:

$x^2 - (\text{sum of zeros})x + \text{product of zeros } = 0$

From given,

$Sum\ of\ zeros = \frac{21}{8}\\\\Product\ of\ zeros = \frac{5}{16}$

Substituting the values we get,

$x^2 - \frac{21}{8}x + \frac{5}{16} = 0 \\\\\16x^2 - 42x + 5 = 0$

Thus the quadratic polynomial is found

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