Show that 2x is a factor of 2x^3-11x^2-4x+1
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Let, 2x+1=0
X = -1/2
P(x) = 2x3-11x2-4x+1
P(-1/2) = 2(-1/2)3-11(-1/2)2-4(-1/2)+1
=2(-1/8)-11(1/4)+2+1
=-1/4-11/4+3
=(-1-11+12)/4
=0
So, 2x+1 is factor of 2x3-11x2-4x+1
X = -1/2
P(x) = 2x3-11x2-4x+1
P(-1/2) = 2(-1/2)3-11(-1/2)2-4(-1/2)+1
=2(-1/8)-11(1/4)+2+1
=-1/4-11/4+3
=(-1-11+12)/4
=0
So, 2x+1 is factor of 2x3-11x2-4x+1
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0
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