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| 1. |
Write the polynomials whose zeroes are 2+root3 and 2-root3 |
| Answer» Let alpha = 2 + root3 Beta = 2 - root 3So alpha + beta = 4 Alpha × beta = 1 Ouadratic polynomial = K [ x^2 -(alpha + beta)x + alpha × beta] = K [ x^2 - 4x + 1] Let K = 1So , quadratic polynomial = x^2 - 4x +1 | |