If = - 1/3
is a zero of the polynomial () = 27
3 −
2 − + 3, then find the value of “a”
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2
Answer:
x=−
3
1
is a zero of polynomial p(x)
⟹p(−
3
1
)=0
⟹27(−
3
1
)
3
−a(−
3
1
)
2
−(−
3
1
)+3=0
⟹−
27
27
−
9
a
+
3
1
+3=0
⟹
9
a
=2+
3
1
⟹
9
a
=
3
7
⟹a=21
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