find the zeroes of the polynomial x^2-3 and verify the relationship between the zeroes and the coefficient
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Given polynomial is x^2−3
Here, a=1,b=0 and c=−3x ^2−3=(x−3 )(x− 3 )
So, the value of x ^2 −3 is zero when x= 3
or x=−3
Threrfore , thr zeroes of x
2 −3 are 3 and − 3
.
Now, sum of zeroes =
3 − 3=0= 10 = a−b
product of zeroes =( 3 )(− 3 )=−3= 1−3 = ac
Hence verified.
Step-by-step explanation:
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