If x= −1/3 is a zero of the polynomial p(x) = 27x³ − ax³ − x − 3 , then find the value of a.
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Answer:
−9
Step-by-step explanation:
given,
p[x]) = 27x³ − ax³ − x − 3
g[x]= −1/3
zero of the polynomial g[x]is x −1/3=0
x=1/3
substitute x value in p[x]
p[x]=0
0=27[ −1/3]^2 − a[ −1/3]^2 − 1/3 − 3
0=27[1/9] − a[1/9] −1/3-3
0=3 − a/9 − 1/3 − 3
LCM=9
0=27 − a − 9 − 27
0= −a −9
a= −9
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