if x=3 and n=0 are zeros of the p(n) =2x3 -8x2 + ax + bfind a and b
Answers
Answered by
0
Step-by-step explanation:
Let the zeros of the given polynomial be p,q,r. As the roots are in A.P., then it can be assumed as p−k,p,p+k, where k is the common difference.
p−k+p+p+k=−
a
3b
p=−
a
b
And, (p−k)(p)(p+k)=−
a
d
p(p
2
−k
2
)=−
a
d
−
a
b
(p
2
−k
2
)=−
a
d
p
2
−k
2
=
b
d
And, p(p−k)+p(p+k)+(p−k)(p+k)=
a
3c
2p
2
+(p
2
−k
2
)=
a
3c
a
2
2b
2
+
b
d
=
a
3c
a
2
b
2b
3
+a
2
d
=
a
3c
2b
3
−3abc+a
2
d=0
Similar questions