Question

find a quadratic polynomial whose zeroes are 2 and -1/3​

Answer 1

Answer:

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

Step-by-step explanation:

Quadratic polynomial

=x²-(Sum of the zeroes)x+ Product of the zeroes

$= {x}^{2} - (2 + ( \frac{ - 1}{3} ))x + 2( \frac{ - 1}{3} ) \\ \\ = {x}^{2} - ( \frac{6 - 1}{3} )x - \frac{2}{3} \\ \\ = {x}^{2} - \frac{5}{3} x - \frac{2}{3} \\ \\ = 3{x}^{2} - 5x - 2$