please ans this with corre solution
it's urgent
Attachments:
Answers
Answered by
2
Hi dear
In order to find the value of m and n so that
f(x) = x³ - 6x² + mx - n is exactly divide by (x -1) and (x - 2)
it means ( x -1 ) and (x -2) are factors of f(x)
and when the value of x put in f(x) it will result in zero
ATQ
taking (x -1) as factor
f(1) ≡ 1³ - 6(1)² + m(1) - n = 0
1 - 6 + m - n = 0
m - 5 - n = 0 ___________(1)
Taking (x -2) as factor
f(2) ≡ 2³ - 6(2)² + m(2) - n = 0
8 - 24 + 2m - n = 0
2m - 16 - n = 0 ______(2)
subtracting (1) from (2)
m - 11 = 0
m = 11
also ,
putting value of m in equation 1 we get ,
11 - 5 - n = 0
- n = -11 + 5
- n = - 6
n = 6
In order to find the value of m and n so that
f(x) = x³ - 6x² + mx - n is exactly divide by (x -1) and (x - 2)
it means ( x -1 ) and (x -2) are factors of f(x)
and when the value of x put in f(x) it will result in zero
ATQ
taking (x -1) as factor
f(1) ≡ 1³ - 6(1)² + m(1) - n = 0
1 - 6 + m - n = 0
m - 5 - n = 0 ___________(1)
Taking (x -2) as factor
f(2) ≡ 2³ - 6(2)² + m(2) - n = 0
8 - 24 + 2m - n = 0
2m - 16 - n = 0 ______(2)
subtracting (1) from (2)
m - 11 = 0
m = 11
also ,
putting value of m in equation 1 we get ,
11 - 5 - n = 0
- n = -11 + 5
- n = - 6
n = 6
Similar questions