show that 2x + 1 is a factor of 2 x cube - 11 x square - 4 x + 1
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Answer:
2x+1 is a factor
Step-by-step explanation:
2x+1=0
2x=-1
x=-1/2
at x=-1/2
p(-1/2)=2(-1/2)³-11(-1/2)²-4(-1/2)+1
=2×-1/8-11×1/4-4×-1/2+1
=-1/4-11/4+2+1
=-12/4+3/1
LCM of 4,1=4
=-12/4+12/4
=0
thus,
2x+1 is a factor of 2x³-11x²-4x+1
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answer is 0 that is fine
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