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If -1 is one of the zeroes of the polynomial x cube - 4x square +x+6. find the other zeroes. |
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Answer» Given polynomialx^3 - 4x^2 + x + 6 = 0 As - 1 is one of the zero, then (x+1) should be one of factor of polynomial x^3 + x^2 - 5x^2 - 5x + 6x + 6 = 0x^2(x + 1) - 5x(x + 1) + 6(x + 1) = 0(x + 1)(x^2 - 5x + 6) = 0(x + 1)(x^2 - 3x - 2x + 6) = 0(x + 1)(x(x - 3) - 2(x - 3)) = 0(x + 1)(x - 2)(x - 3) = 0x = - 1, 2, 3 Therefore, other two zeroes are 2 and 3 |
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