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Polynomial Formation

Class 10 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsWhich quadratic polynomial has zeros \(2+\sqrt{10}\) and \(2-\sqrt{10}\)?Class 10PolynomialsIrrational numbers and real numbersLevel 27Expert MathematicsWhich option has all rational coefficients and zeroes (6+\sqrt{11}) and (6-\sqrt{11})?Class 10PolynomialsIrrational numbers and real numbersLevel 26Expert MathematicsWhich polynomial has (1+\sqrt{6}) and (1-\sqrt{6}) as zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 26Expert MathematicsWhich quadratic polynomial has zeroes (3+\sqrt{2}) and (3-\sqrt{2})?Class 10PolynomialsIrrational numbers and real numbersLevel 26Expert MathematicsIf the zeroes are \\( \\frac{3+\\sqrt{5}}{2} \\) and \\( \\frac{3-\\sqrt{5}}{2} \\), what is the monic quadratic polynomial?Class 10PolynomialsIrrational numbers and real numbersLevel 25Expert MathematicsWhich of the following polynomials has zeros \(3+\sqrt{2}\) and \(3-\sqrt{2}\)?Class 10PolynomialsIrrational numbers and real numbersLevel 25Expert MathematicsIf the zeros of a quadratic polynomial are (5+\sqrt{2}) and (5-\sqrt{2}), what is the polynomial in standard form?Class 10PolynomialsIrrational numbers and real numbersLevel 27Hard MathematicsIf one zero of a quadratic polynomial with rational coefficients is (6-2\sqrt{5}), what is one possible form of that polynomial?Class 10PolynomialsIrrational numbers and real numbersLevel 26Hard MathematicsIf a quadratic polynomial has zeroes with sum \(5\sqrt{2}\) and product \(12\), which polynomial represents it?Class 10PolynomialsIrrational numbers and real numbersLevel 26Hard MathematicsIf the sum of zeroes is 2√5 and the product is 4, which is a monic quadratic polynomial?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard MathematicsWhich of the following polynomials has zeros \,(\sqrt{2}+\sqrt{3}) and \,(\sqrt{2}-\sqrt{3})?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard MathematicsWhich polynomial has zeros \(1+\sqrt{2}\) and \(1-\sqrt{2}\)?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard MathematicsIf \(2+\sqrt{3}\) and \(2-\sqrt{3}\) are zeroes of a quadratic polynomial, what is the polynomial?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard