the condition for m for which the expression -mx^2+x-1 cannot be factorised
Answers
Answered by
0
While m is not equals to zero.....it can be factorized
Answered by
0
Given quadratic polynomial,
-mx²+x-1=0
Discriminant=b²-4ac
If the discriminant of the given polynomial is less than zero then the roots of the polynomial are imaginary and polynomial cannot be factorized.
Now we have,
b²-4ac<0
(1)²-4(-m)(-1)<0
1-4m<0
-4m<-1
4m<1
m<1/4
Hence if m<1/4 then the given polynomial cannot be factorized.
-mx²+x-1=0
Discriminant=b²-4ac
If the discriminant of the given polynomial is less than zero then the roots of the polynomial are imaginary and polynomial cannot be factorized.
Now we have,
b²-4ac<0
(1)²-4(-m)(-1)<0
1-4m<0
-4m<-1
4m<1
m<1/4
Hence if m<1/4 then the given polynomial cannot be factorized.
Similar questions