if (3x–1) is a factor of the polynomial (81x³–45x²+3a–6), then a is
a)8/3
b)–7/3
c)–10/3
d)11/3
Answers
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1
Answer:
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
Hence, option B is correct.
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