factorise if it's given that x+2 is factor of it
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let ( x +2 ) be factor of 2xpower4 - 6xcube + xsquare - x +2
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it is the answer of your question.
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Answer:p(x)=2x4-6x3+x2-x+2
g(x)=x+2
if ,x+2 is a factor of p(x).
put g(x)=0
x+2=0
x=-2
now, putting the value of x in p(x)
2(-2)4-6(-2)3+(-2)2-(-2)+2
2×16-6(-8)+4+2+2
32+48+8
40+48
88
hence,it is not a factor of p(x).
because p(x)≠0.
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