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Question
Determine which of the following polynomials has (x+1) a factor
X⁴+3x³+3x²+x+1
Determine which of the following polynomials has (x+1) a factor
X⁴+3x³+3x²+x+1
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Solution
Question given is not clear.
In the question only one polynomial (X⁴+3x³+3x²+x+1) is given,which is not a factor of x + 1
SOLUTION:
Let p(x)= x⁴+3x³+3x²+x+1
The zero of x+1 is -1.
On putting x= -1
p(−1)=(−1)⁴+3(−1)³+3(−1)²+(−1)+1
=1−3+3−1+1
=1≠0
Hence,by factor theorem, x+1 is not a factor of x⁴+3x³+3x²+x+1
In the question only one polynomial (X⁴+3x³+3x²+x+1) is given,which is not a factor of x + 1
SOLUTION:
Let p(x)= x⁴+3x³+3x²+x+1
The zero of x+1 is -1.
On putting x= -1
p(−1)=(−1)⁴+3(−1)³+3(−1)²+(−1)+1
=1−3+3−1+1
=1≠0
Hence,by factor theorem, x+1 is not a factor of x⁴+3x³+3x²+x+1
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