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If two zeroes of the polynomial x^4-6x^3...

If two zeroes of the polynomial `x^4-6x^3-26 x^2+138 x-35`are `2+-sqrt(3)`, find other zeroes.

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To find the other zeroes of the polynomial \( P(x) = x^4 - 6x^3 - 26x^2 + 138x - 35 \) given that two of its zeroes are \( 2 + \sqrt{3} \) and \( 2 - \sqrt{3} \), we can follow these steps: ### Step 1: Identify the known zeroes The two known zeroes of the polynomial are: - \( x_1 = 2 + \sqrt{3} \) - \( x_2 = 2 - \sqrt{3} \) ### Step 2: Form the factors from the known zeroes ...
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