Question

find the quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively 2/3,5

Answer 1

Answer:

$required \: polynmial \: \\ sum \: of \: zeroes \: = \alpha + \beta = \frac{2}{3} \\ \frac{ - b}{a} \: = \frac{2}{3} \\ product \: of \: zeroes \: = \alpha \beta \\ \frac{c}{a} = 5 \\ = 5 \times \frac{3}{3} \\ hence \: required \: p(x) = {3x}^{2} - 2x + 15$