The factors of polynomial x3- 6x2 + 11x - 6 are
(x+1)(x+2)(x-3)
(x-1)(x+2)(x-3)
(x-1)(x-2)(x-3)
(x-1)(x-2)(x+3)
C.
(x-1)(x-2)(x-3)
Putting x =1 in polynomial
x3-6x2+11x-6,
f(1)=0
(1)3-6(1)2+11x1-6=0
1-6+11-6=0
12-12=0
0=0
Hence, x - l is a factor of polynomial x3-6x2+11x-6.
Now,
therefore(x-1)(x-5x+ 6)
=(x -1 )(x2- 3x - 2x + 6)
=(x -l)[x(x - 3)- 2(x - 3)]
=(x -l)(x -2)(x -3)
The marks of 16 students in math in monthly test are 0, 0, 2, 2, 3, 3, 3, 4, 5, 5, 5, 5,6, 6, 7, 8, then mode will be
5
6
3
7
If distance between centre to chord is 12 cm and length of chord is 10 cm, then the diameter of circle is
26 cm
14 cm
13 cm
30 cm