. Find the value of m, if x-2 is the factor of 2 x³ - 5 x² + 5 x - m.
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If x-2 is a factor of the polynomial then, the division between the two must give remainder as 0.
Thus the value of m becomes 6.
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Step-by-step explanation:
as x-2 is a factor of 2x³-5x²+5x-m
2 is a zero of the given polynomial
2(2³)-5(2²)+5(2)-m=0
2(8)-5(4)+10-m=0
16-20+10-m=0
6-m=0
m=6
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