Question

if x is equal to minus 1 by 3 is a zero of polynomial p x is equal to 27 x cube minus a x square + X + 4 then find the value of a

Answer 1

Answer:

24

Step-by-step explanation:

p(x)=27x^3-ax^2+x+4

according to question,

p(-1/3)=0

which implies...

p(-1/3)=27(-1/3)^3-a(-1/3)^2+(-1/3)+4

         =27(-1/27)-a(1/9)-1/3+4

         =-1-1/3+4-a/9

         =-3-1+12/3-a/9=0

implies..

8/3-a/9=0

i.e.8/3=a/9

a=24

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Hope this helps.Any mistake from me is regretted.All doubts are welcome.Keep studying!!!