Question

Find the polynomial whose zeroes are 2√3 and 3√3.
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Answer 1

Step-by-step explanation:

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Question

find the quadratic polynomial whose zeroes are 2+√3 and 2-√3.

The zeros are 2 + √(3) and 2 - √(3) Let the quadratic polynomial be (x - r1)(x - r2) where r1 and r2 are the zeros of the polynomial.Thus the polynomial is [x - (2 + √(3))][x - (2 - √(3))] = (x - 2 - √(3))(x - 2 + √(3)) = (x^2 - 2x + √(3)x - 2x + 4 - 2√(3) - √(3)x + 2√(3) - 3) = x^2 - 4x + 1