Question

Write a quadratic polynomial, sum of whose zeroes is 2/3 and product is 5.
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Answer 1

Answer:

3 {x}^{2} - 2x + 5 = 0

Step-by-step explanation:

Let \apha and \beta be the zeroes of the quadratic polynomial

Given = sum of the zeroes = 2/3

product of its zeroes = 5

We know that,

${x}^{2} - ( \alpha + \beta )x + ( \alpha \times \beta )$

${x}^{2} - \frac{2}{3}x + 5$

$3 {x}^{2} - 2x + 5 = 0$

Hence the 3 {x}^{2} - 2x + 5 = 0 is the required quadratic equation.