Find the zero of x2+4+4=p(x)
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Answer:
P ( x ) = x² - 4
We can also write this as :
⇒ P ( x ) = (x)² - (2)²
Identity : a² - b² = (a + b)(a - b)
⇒ P ( x ) = (x + 2)(x - 2)
To find the zeroes, P ( x ) = 0
•°• 0 = (x + 2)(x - 2)
Using Zero Product Rule
⇒ (x + 2) = 0 and (x - 2) = 0
⇒ x = - 2 and x = 2
Hence, the zeroes are 2 and - 2.
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