Given that zeroes of the cubic polynomial X3-6X+3X+10 are of the form a, a+b, a+2b for some real numbers a & b.Find the values of a+b as well as the zeroes of given polynomial.
Asked by
| 15th Sep, 2012,
10:19: PM
Expert Answer:
If k = 2 that is a + b = 2, and b = 3, then a = k - b = 2 - 3 = -1, and a + 2b = k + b = 2 + 3 = 5
If k = 2 and b = 3, then a = k - b = 2 + 3 = 5, and a + 2b = k + b = 2 - 3 = -1
So, a may be either -1 or 5.
And the three zeroes of the polynomial are -1, 2 and 5.
If k = 2 that is a + b = 2, and b = 3, then a = k - b = 2 - 3 = -1, and a + 2b = k + b = 2 + 3 = 5
If k = 2 and b = 3, then a = k - b = 2 + 3 = 5, and a + 2b = k + b = 2 - 3 = -1
So, a may be either -1 or 5.
And the three zeroes of the polynomial are -1, 2 and 5.
Answered by
| 16th Sep, 2012,
08:19: PM
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