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What is the number of zeroes of the polynomial x2 + 6x +15?1. 12. 23. 34. No zero |
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Answer» Correct Answer - Option 4 : No zero Given: The polynomial is x2 + 6x +15 Calculation: x2 + 6x +15 here, a = 1, b = 6 and c = 15 Now, determinant = b2 - 4ac = 62 - 4 × 1 × 15 = 36 - 60 = -24 < 0 Since the determinant is negative therefore it has no zeros. If the determinant is negative (D < 0) It doesn’t have a zero which implies that the quadratic equation had no roots and hence it doesn’t intersect the x-axis. As the roots of the polynomial lie on the x-axis. |
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