plz ans to be brainlist
Attachments:
gaurav2013c:
what to find
Answers
Answered by
1
Since x-a is a factor of given polynomial,
a is zero of given polynomial.
By Remainder theoram,
P(a) = 0
=> (a) ^3 - a(a)^2 +(6-a) = 0
=> a^3 - a^3 +6 - a = 0
=> 6 - a = 0
=> a = 6
a is zero of given polynomial.
By Remainder theoram,
P(a) = 0
=> (a) ^3 - a(a)^2 +(6-a) = 0
=> a^3 - a^3 +6 - a = 0
=> 6 - a = 0
=> a = 6
Answered by
1
Given f(x) = x^3 - ax^2 + (6 - a).
if x - a = 0, then x = a.
To know the remainder when f(x) is divided by x - a.
Plug in x = a in f(x), we get
f(a) = a^3 - a(a)^2 + (6 - a)
= a^3 - a*a^2 + 6 - a
= a^3 - a^3 + 6 - a
= 6 - a.
Hope this helps!
if x - a = 0, then x = a.
To know the remainder when f(x) is divided by x - a.
Plug in x = a in f(x), we get
f(a) = a^3 - a(a)^2 + (6 - a)
= a^3 - a*a^2 + 6 - a
= a^3 - a^3 + 6 - a
= 6 - a.
Hope this helps!
Similar questions