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Quadratic Polynomial

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

MathematicsIn p(x) = ax² + bx + c, if a ≠ 0, what type of polynomial is it?Class 10PolynomialsPolynomials in one variableLevel 48EasyMathematicsWhich of the following values is a zero of the polynomial \(p(x)=x^2-9\)?Class 10PolynomialsPolynomials in one variableLevel 48EasyMathematicsWhat type of polynomial is x² + 5x + 6?Class 10PolynomialsPolynomials in one variableLevel 48EasyMathematicsIf \(p(x)=2x^2+3x-2\), what is the value of \(p(-2)\)?Class 10PolynomialsPolynomials in one variableLevel 46EasyMathematicsIf \(p(x)=x^2-4\), what is the value of \(p(3)\)?Class 10PolynomialsPolynomials in one variableLevel 46EasyMathematicsWhen the polynomial \(p(x)=3x^2+4x+5\) is written in the form \(ax^2+bx+c\), how many coefficients does it have?Class 10PolynomialsPolynomials in one variableLevel 46EasyMathematicsWhich polynomial is a quadratic polynomial?Class 10PolynomialsPolynomials in one variableLevel 46EasyMathematicsIf \(x=3+\sqrt{8}\), which quadratic polynomial can have \(x\) as a zero?Class 10PolynomialsIrrational numbers and real numbersLevel 27ExpertMathematicsWhich polynomial has rational coefficients and zeroes 1 + √2 and 1 − √2?Class 10PolynomialsIrrational numbers and real numbersLevel 26HardMathematicsIf p(x)=x^2−2√6x+5, what are the product and sum of its zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 27MediumMathematicsIf p(x) = 2x² − 4√2x + 4, what is the sum of its zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 28HardMathematicsIf p(x) = 3x² − 12x + 6, what is the nature of its zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 28HardMathematicsA quadratic polynomial graph does not touch or intersect the x-axis. What is the number of distinct real zeroes?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24MediumMathematicsIf 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 23MediumMathematicsIf p(x) = x² − 17x + 72, what is the distance between the zeroes of the graph?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22MediumMathematicsIf 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 24HardMathematicsIf p(x) = 3x^2 - 18x + 27, how will the graph meet the x-axis?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23MediumMathematicsIf p(x) = x² + 6x + 10, which statement about its real zeroes is correct?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24MediumMathematicsIf a parabola only touches the x-axis, how many distinct real zeroes does the polynomial have?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24EasyMathematicsIf a parabola has no common point with the (x)-axis, how many real zeroes does the quadratic polynomial have?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Easy