Question

Write the quadratic polynomial whose zeroes -4/5and 1/3.

Answer 1

Hey!!

Let
$\alpha = \frac{ - 4}{5}$

$\beta = \frac{1}{3}$


Sum of zeroes

$\alpha + \beta$

$= \frac{ - 4}{5} + \frac{1}{3}$

$= \frac{ - 12 + 5}{15}$

$= \frac{ - 7}{15}$


Product of zeroes

$\alpha \beta$


$= ( \frac{ - 4}{5} )( \frac{1}{3} )$

$= \frac{ - 4}{15}$


In quadratic formula

p (x) = k [ x^2 - ( alpha + beta )x + alphabeta

= k [ x^2 - ( - 7 / 15 )x + ( - 4 / 15 )

= k [ x^2 + 7 / 15 - 4 / 15]

One of the polynomial

x^2 + 7 / 5 - 4 / 15


Hope it will helps you ✌