Question

Find the quadratic polynomial whose sum of zeroes is 2/3 and product of zeroes is -1/3.​

Answer 1

Answer:

ATQ,

$$\alpha + \beta = - 2\3$$

and

$$alpha x beta = - 3$$

so , the formula to make quadratic equations is ( when two of its zeroes are given) is x^2 - sx + p

(s = sum of zeroes ) , ( p=product of zeroes )

equation = x^2 - (-2/3)x + (-3)

= x^2 + 2/3 x - 3

= 3 ( x^2 + 2/3x -3)

= 3x^2 + 2x - 6

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