—— -12x + 9, Find the missing term such that given polynomial becomes a perfect square.
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Answered by
2
the missing term is 4x^2. so the formed polynomial 4x^2-12x+9 is a perfect square.
hope it helped !!
thank you !!
hope it helped !!
thank you !!
Answered by
5
Solution :
Given -- - 12x + 9
______________________
we know the algebraic identity:
a² - 2ab + b² = ( a - b )²
_______________________
Here,
b = 3 ,
2ab = -12x
=> 2 * a * 3 = 12x
=> a = ( 12x )/( 2*3 )
=> a = 2x
Therefore ,
( 2x )² - 2*2x*3 + 3²
= 4x² - 12x + 9
missing term = 4x²
•••••
Given -- - 12x + 9
______________________
we know the algebraic identity:
a² - 2ab + b² = ( a - b )²
_______________________
Here,
b = 3 ,
2ab = -12x
=> 2 * a * 3 = 12x
=> a = ( 12x )/( 2*3 )
=> a = 2x
Therefore ,
( 2x )² - 2*2x*3 + 3²
= 4x² - 12x + 9
missing term = 4x²
•••••
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