1.

Find the quadratic polynomial whose zeroes are(5+213) and (5-213)

Answer»

sum of zeroes= 5+2√3+5-2√3 = 10product of zeroes=(5+2√3)(5-2√3){since (a+b)(a-b)=a^2 - b^2) = (5)^2-(2√3)^2 = 25-4×3 = 25-12 = 13polynomial=x^2-x(sum of zeroes)+(product of zeroes)x^2-x(10)+(13)x^2-10x+13



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