Math, asked by Pompi6643, 1 month ago

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

Answered by TGAush15
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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