A) \[k\left( -p{{x}^{2}}+\frac{x}{p}+1 \right)\]
B) \[k\left( p{{x}^{2}}-\frac{x}{p}-1 \right)\]
C) \[k\left( {{x}^{2}}+px-\frac{1}{p} \right)\]
D) \[k\left( {{x}^{2}}-px+\frac{1}{p} \right)\]
Correct Answer: C
Solution :
| Given, sum of roots \[=-p\] |
| and product of roots \[=-\frac{1}{p}\] |
| \[\therefore\] Quadratic polynomial |
| \[=k\] [\[{{x}^{2}}\] - (Sum of roots) x + Product of roots] |
| \[=k\left[ {{x}^{2}}-\left( -p \right)x+\left( -\frac{1}{p} \right) \right]\] |
| \[=k\left( {{x}^{2}}+px-\frac{1}{p} \right)\] |
You need to login to perform this action.
You will be redirected in
3 sec
