Find the value of 'a' in the polynomial x2+ax-20 if 4 is the zero of polynomial.
Answers
Answered by
10
Step-by-step explanation:
ANSWER
Comparing x
2
+4x+2a with ax
2
+bx+c,
a=1,b=4,c=2a
According to the question,
α,
2
α
are the zeroes of the polynomial,
sum of the zeroes
a
b
α+
2
α
=
1
−4
α=
3
−8
α
2
=
9
64
[squaring both sides]
product of all zeroes,
α×
2
α
=
1
2a
α
2
=4a
∴4a=
9
64
[∵α
2
=
9
64
]
a=
9
16
....
HOPE THIS WILL HELP YOU
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