A) \[{{x}^{2}}+5x+6\]
B) \[{{x}^{2}}-5x+6\]
C) \[{{x}^{2}}-5x-6\]
D) \[-{{x}^{2}}+5x+6\]
Correct Answer: A
Solution :
Let \[\alpha\] and \[\beta\] are the zeroes of quadratic polynomial |
\[\therefore\] Sum of zeroes, \[\alpha +\beta =-5\] and product of zeroes, \[\alpha \beta =6\] [given] |
Now, required polynomial |
\[={{x}^{2}}\]- (sum of zeroes) x + product of zeroes |
\[={{x}^{2}}-\left( -5 \right)x+6\] |
\[={{x}^{2}}+5x+6\] |
You need to login to perform this action.
You will be redirected in
3 sec