Find a if one zero of 2x2 + (a – 2)x + 4 is negative of other
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Answered by
1
Step-by-step explanation:
Correct option is
C
p=−6, other zero =1
We know that for a quadratic polynomial ax
2
+bx+c,
product of the zeros=
a
c
Here,quadratic polynomial is 2x
2
+px+4
One root is 2
Let the other root be a
Therefore,
2×a=
2
4
=>a=1
Therefore,
The other zero is 1
Also, sum of the zeros =
a
−b
=>1+2=
2
−p
=>3×2=−p
=>p=−6
Therefore,
p=−6 , other root=1
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