I can make packets of 6 sweets or 8 sweets or 10 sweets. What least number of sweets must I have so that I can put them in any of the grouping mentioned above without leaving any sweet?
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0
Answer:
2
Step-by-step explanation:
If 1 is the zero of the polynomial f(x)=a
2
x
2
−3ax+3x−1
Then, f(x)=0
=>a
2
(1)
2
−3a(1)+3(1)−1=0
=>a
2
−3a+3−1=0
=>a
2
−3a+2=0
=>a
2
−2a−a+2=0
=>a(a−2)−1(a−2)=0
=>(a−2)(a−1)=0
a=2
.
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