InterviewSolution
Saved Bookmarks
| 1. |
What will be the value of other zero, if one zero of the quadratic polynomial is 5 and the sum of the zeros is 10?(a) 10(b) 5(c) -5(d) -10The question was asked during an internship interview.This interesting question is from Zeros and Coefficients of Polynomial topic in portion Polynomials of Mathematics – Class 10 |
|
Answer» RIGHT option is (b) 5 Easiest EXPLANATION: One zero of the quadratic polynomial is 5. ∴ the factor of the polynomial is (x-5) Let us ASSUME the other zero to be b. ∴ the other factor of the polynomial is (x-b) Multiplying the FACTORS, we have (x-5)(x-b) x^2-5x-bx+5b x^2-(5+b)x+5b The sum of zeros is 10. ∴ \(\frac {-COEFFICIENT \, of \, x}{coefficient \, of \, x^2}\)=10 \(\frac {-(-5-b)}{1}\)=10 5+b=10 b=5 The equation becomes x^2-10x+25. Therefore, the other zero is 5. |
|