Find a quadratic polynomials whose zeroes are (4+√6) and (4-√6)
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Step-by-step explanation:
quadratic polynomials whose zeroes are (4+√6) and (4-√6) is,
p(x)
= {x-(4+√6)}{x-(4-√6)}
= {(x-4)+√6}{(x-4)+√6}
= (x-4)^2 - (√6)^2
= x^2 + 4^2 - 2×x×4 - 6
= x^2 + 16 - 8x - 6
= x^2 - 8x - 10
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