Find the condition that the zeros of the polynomial x cube minus 3 X square + 2 x minus are in arithmetic progression.
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Answer:
-1 is to be added to fulfil the condition.
Step-by-step explanation:
Polynomial = - 3
+ 2
- 0
Let's add -1 to the polynomial = - 3
+ 2
- 0 + (-1)
= - 3
+ 2
- 1
Zeros of the Polynomial;
- α + β + γ =
=
= 3
- αβ + βγ + γα =
=
= 2
- αβγ =
=
= 1
Zeros are in A.P. with a(1st Term)= 3 and d(Common Difference)= 1
- a=3
- a-d=2
-d=1
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