Question

check whether 3 and -2 are the zeros of the polynomial x square -x -6

Answer 1

Hi,


P ( X ) = X² - X - 6



Putting X = 3



(3)² - 3 - 6



=> 9 - 9


=> 0



Remainder = 0 . So 3 is a zero of the given quadratic polynomial.


(2) P ( X ) = X² - X - 6




P(-2) = (-2)² - (-2) - 6




=> 4 + 2 - 6


=> 6 - 6

=> 0

Remainder = 0 , so -2 is a zero of the given quadratic polynomial.

In both the cases remainder is equal to 0 . so 3 and -2 are two zeroes of the given quadratic polynomial X²-X - 6.



Hope it will help you :-)

Answer 2

x2 - x - 6
= x2 - 3x + 2x - 6
= x(x - 3) + 2(x - 3)
= (x - 3) (x + 2)
x - 3 = 0
=> x = 3
=> x = -2
Therefore, 3 and -2 are the zeroes of the polynomial x2 - x - 6.