Check whether X-2 is a factor of xcube-4xsquare+x+6 using factor theorem
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Answer:
No
Step-by-step explanation:
g(x)= x-2
Let g(x)=0
Therefore,x-2=0
or,x=2
Let f(x)=x3+4x2+x+6
Therefore, f(2)=2^3+4×(2^2)+2+6
or,8+16+2+6=32
As the resultant is 32 and not 0 so x-2 is not a factor of f(x).
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