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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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