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Multiplicity

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

MathematicsIf \(p(x)=x^3-6x^2+12x-8\), what are the zero of \(p(x)\) and its multiplicity?Class 10PolynomialsPolynomials in one variableLevel 48Expert MathematicsWhich of the following polynomials has exactly two distinct real zeroes, one of which has multiplicity 2?Class 10PolynomialsPolynomials in one variableLevel 48Hard MathematicsWhich statement is correct about the roots of \(11x^2=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Easy MathematicsA polynomial's graph crosses the \(x\)-axis at \\((-5,0)\\) and touches the \(x\)-axis at \\((2,0)\\). Based on this information, what is the number of real (distinct) zeros?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Expert MathematicsIf the graph of a polynomial touches the x-axis at a point but does not cross it there, what does this indicate?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Expert MathematicsIf (p(x)=11(x+5)^2(x-14)), at how many distinct points will the graph meet the (x)-axis and which point will be a touching point?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Expert MathematicsIf (p(x)=x(x+6)^4(x-3)^5), what will be the graph behavior at (x=3)?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Expert MathematicsIf (p(x)=(x-c)^5(x+d)^2), where (c\neq -d), what are the distinct zeroes?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Expert MathematicsIf (p(x)=(x-4)^4(x+3)^3), where will the graph touch and where will it cross?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Expert MathematicsIf (p(x)=9(x+4)^2(x-12)), at how many distinct points will the graph meet the (x)-axis and which point will be a touching point?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22Expert MathematicsIf (p(x)=x(x-7)^4(x+2)^3), what will be the graph behavior at (x=7)?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22Expert MathematicsIf (p(x)=(x+a)^3(x-b)^2), where (a\neq -b), what are the distinct zeroes?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22Expert MathematicsIf (p(x)=(x+5)^3(x-2)^2), where will the graph cross and where will it touch?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22Expert MathematicsIf (p(x)=7(x+3)^2(x-10)), at how many distinct points will the graph meet the (x)-axis and which point will be a touching point?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Hard MathematicsIf a graph touches the x-axis at (7,0) and crosses it at (-4,0), what is the sum of the zeroes?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Hard MathematicsIf (p(x)=x(x+4)^2(x-6)), what will be the graph behavior at (x=-4)?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Hard MathematicsIf p(x) = (x - 4)(x + 7)^3, what are the distinct zeroes?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Medium MathematicsIf (p(x)=(x+6)^2(x-2)), where will the graph touch and where will it cross?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Hard MathematicsIf (p(x)=5(x+2)^2(x-7)), at how many distinct points will the graph meet the (x)-axis and which point will be a touching point?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Hard MathematicsIf a graph touches the x-axis at \\((5,0)\\) and crosses it at \\((-3,0)\\), what is the sum of the zeroes?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Hard