Question

FIND THE QUADRATIC POLYNOMIAL FOR THE ZEROS 1/3 AND -2

Answer 1

Answer:

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

Step-by-step explanation:

Sum of zeroes(α+β)

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

Product of zeroes(αβ)

$\frac{1}{3} *-2= \frac{-2}{3}$

The quadratic equation with zeroes α & β

⇒ x²-(α+β)x + αβ

So, the quadratic equation is

x²+⁵/₃x - ²/₃

⇒ $3x^{2}+5x-2$

Hope this is clear.