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Zeroes And Coefficients

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

MathematicsIf the zeroes of the polynomial \(p(x)=x^2-kx+36\) are positive and in the ratio 1:4, what is the value of k?Class 10PolynomialsPolynomials in one variableLevel 48Expert MathematicsIf the zeroes of a quadratic polynomial are \((2+\sqrt{3})\) and \((2-\sqrt{3})\), which is the monic polynomial?Class 10PolynomialsPolynomials in one variableLevel 48Expert MathematicsIf the zeroes of p(x) = x³ + ax² + bx + 8 are −1, −2, and −4, what is the value of a + b?Class 10PolynomialsPolynomials in one variableLevel 46Hard MathematicsIf the zeroes of a quadratic polynomial are \(\alpha\) and \(\beta\), and \(\alpha+\beta=5\) and \(\alpha\beta=6\), which monic polynomial has these zeroes?Class 10PolynomialsPolynomials in one variableLevel 46Hard MathematicsIf the zeroes of the polynomial \(f(x)=x^3+px^2+qx-6\) are \(1\), \(2\), and \(3\), what is the value of \(p+q\)?Class 10PolynomialsPolynomials in one variableLevel 46Hard MathematicsIf the zeroes of the polynomial \(p(x)=x^3+px^2+qx-6\) are \(1, 2\), and \(3\), what is the value of \(p+q\)?Class 10PolynomialsPolynomials in one variableLevel 46Hard MathematicsIf the graph of p(x) = x² + px + q cuts the x-axis at (−8, 0) and (5, 0), what are p and q?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Medium MathematicsIf the graph of p(x) = x^2 + px + q cuts the x-axis at (-6, 0) and (2, 0), what will p and q be?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Hard