Question

x²-14x+49,Determine whether the given polynomial are perfect square or not.

Answer 1

yes it is a perfect square of. ( x - 7)

Answer 2

Solution :

Let p(x) = x² - 14x + 49

= x² - 2*x*7 + 7²
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We know the algebraic identity:

a² - 2ab + b² = ( a - b )²
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= ( x - 7 )²

[ Perfect square ]

Therefore ,

p(x) is a perfect square .

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