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Step-by-step explanation:
Let p(x)=x²−4
=x²−2²
=(x−2)(x+2)
∴ p(x)=0
⇒ (x−2)(x+2)=0
⇒ x−2=0 or x+2=0
⇒ x=2 or x=−2
∴ Zeroes of p(x)are 2 and -2.
Now, sum of zeroes =2+(−2)
=0
=−0/1
=−coefficient of x /coefficient of x²
and product of zeroes =(2)(−2)
=−4
=−4/1=coefficient term/coefficient of x²
Hence Verified.
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