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Byju's Answer
The number of...
Question
The number of distinct zeroes of the polynomial
f
(
x
)
=
x
2
−
8
x
+
16
is
A
1
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B
1.00
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C
1.0
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Solution
For finding zeroes of polynomial
f
(
x
)
=
0
⇒
x
2
−
8
x
+
16
=
0
⇒
(
x
−
4
)
2
=
0
⇒
x
=
4
,
4
∴
The number of distinct zeroes of the polynomial is
1
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If a quadratic polynomial f(x) is factorizable into linear distinct factors, then what is the total number of real and distinct zeros of f(x)?