check x is equal to -1 is a zero of the polynomial X square + 2 X +1
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Answered by
10
Heya !!
X = -1
P ( X ) = X² + 2X + 1
P (-1) = (-1)² + 2 × -1 + 1
=> 1 - 2 + 1
=> 2 - 2
=> 0
Remainder = 0.
So,
( X + 1 ) is a factor of the given quadratic polynomial.
X = -1
P ( X ) = X² + 2X + 1
P (-1) = (-1)² + 2 × -1 + 1
=> 1 - 2 + 1
=> 2 - 2
=> 0
Remainder = 0.
So,
( X + 1 ) is a factor of the given quadratic polynomial.
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Answered by
4
Hey !!
x=-1
f(x) = x² + 2x + 1
f (-1) = (-1)² + 2 × -1 + 1 = 2 - 2 = 0
reminder is equal to 0. hence x = -1 is a zero of the polynomial x²+2x+1.
x=-1
f(x) = x² + 2x + 1
f (-1) = (-1)² + 2 × -1 + 1 = 2 - 2 = 0
reminder is equal to 0. hence x = -1 is a zero of the polynomial x²+2x+1.
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