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Distinct Zeroes

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

MathematicsIf \(p(x)=x^3-9x\), how many distinct real zeroes does it have?Class 10PolynomialsPolynomials in one variableLevel 48Expert MathematicsIf p(x) = 5(x + 1)(x - 2)(x - 4), at how many distinct points will the graph cut the x-axis?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Medium MathematicsIf the graph of a cubic polynomial crosses the (x)-axis at (-1) and touches it at (2), how many distinct real zeroes are there?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Expert MathematicsIf a polynomial cuts the (x)-axis at eight distinct points, what is the minimum possible degree?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Expert MathematicsIf the points meeting the (x)-axis are written as ((-11,0)), ((-11,0)), ((4,0)), ((4,0)), how many distinct real zeroes are there?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+2)^6(x-5)^2), what are the number of distinct real zeroes and graph behavior?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Expert MathematicsIf a polynomial cuts the (x)-axis at seven distinct points, what is the minimum possible degree?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22Expert MathematicsIf the points meeting the (x)-axis are written as ((-7,0)), ((-7,0)), ((2,0)), ((2,0)), how many distinct real zeroes are there?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-1)^2(x+4)^4), what are the number of distinct real zeroes and graph behavior?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22Expert MathematicsIf a polynomial cuts the (x)-axis at six distinct points, what is the minimum possible degree?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Hard MathematicsIf the points meeting the (x)-axis are written as ((-5,0)), ((-5,0)), ((4,0)), how many distinct real zeroes are there?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^3-25x), at how many distinct points will the graph cut the (x)-axis?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Hard MathematicsIf a polynomial cuts the (x)-axis at four distinct points, what is the minimum possible degree?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Hard MathematicsIf the points meeting the x-axis are written as (2,0), (2,0), (9,0), how many distinct real zeroes are there?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Medium MathematicsIf p(x)=(x-2)(x+6)^3, what are the distinct zeroes?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Medium MathematicsIf p(x)=x^3-16x, at how many distinct points will the graph cut the x-axis?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Medium MathematicsIf the points meeting the x-axis on a polynomial graph are written as (1,0), (1,0), (4,0), how many distinct real zeroes are there?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22Medium