1.

Find the zeroes of the polynomial p(x)= (x – 2)2 – (x+ 2)2.

Answer»

p(x) = (x –2)2−(x + 2)2

We know that,

Zero of the polynomial p(x) = 0

Hence, we get,

⇒ (x–2)2−(x + 2)2 = 0

Expanding using the identity, a2 – b2 = (a – b) (a + b)

⇒ (x – 2 + x + 2) (x – 2 –x – 2) = 0

⇒ 2x ( – 4) = 0

⇒ – 8 x= 0

Therefore, the zero of the polynomial = 0



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