Question

Quadratic polynomial whose zeroes are -2 and 3 is ---------------.​

Answer 1

Answer:

A Quadratic polynomial whose zeroes are -2 and 3.

Sum of zeroes = -b/a = -2+3 = 1

Product of zeroes = c/a = -2×3 = -6

from the above a = 1, b = -1 and c = -6

The quadratic equation is

x²-x-6

hope you got it !

Answer 2

Answer:

(x^2)-x-6=0

Step-by-step explanation:

$x = ( - 2) \:and \: x = 3 \\ x + 2 = 0 \: and \: x - 3 = 0 \\ (x + 2)(x - 3) = 0 \\ {x}^{2} - x - 6 = 0 \\ another \: method \: we \: can \: use \: is \: \\ {x}^{2} + ( \alpha + \beta)x + ( \alpha \beta ) = 0 \\ \alpha = ( - 2) \: \beta = 3 \\ {x}^{2} + ( - 2 + 3)x + ( - 2)(3) = 0 \\ {x}^{2} - x - 6 = 0$

I hope you are clear if not just comment and don't forget to mark my answer as the brainliest.