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Real Zeroes

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

MathematicsIf the polynomial p(x) = x² + 2x + c has no real zero, which condition on c is correct?Class 10PolynomialsPolynomials in one variableLevel 48Expert MathematicsIf \(x^2+4\) is a factor of the polynomial \(p(x)=x^4-16\), what contribution does this factor make to the real zeroes of \(p(x)\)?Class 10PolynomialsPolynomials in one variableLevel 48Expert MathematicsIf \(p(x)=x^3-9x\), how many distinct real zeroes does it have?Class 10PolynomialsPolynomials in one variableLevel 48Expert MathematicsIf \(p(x)=x^4-5x^2+4\), what are its real zeroes?Class 10PolynomialsPolynomials in one variableLevel 48Expert MathematicsIf \(p(x)=3x^2-12x+15\), what is the correct conclusion about its real zeroes?Class 10PolynomialsPolynomials in one variableLevel 48Expert MathematicsFor p(x)=x^2-2x+2, what is the correct conclusion about its real zeroes?Class 10PolynomialsPolynomials in one variableLevel 46Medium MathematicsIf p(x)=x^4-1, how many real zeroes are there besides x=1 and x=-1?Class 10PolynomialsPolynomials in one variableLevel 46Medium MathematicsIf a polynomial in one variable has degree 4, which statement about its number of real zeroes is definitely true?Class 10PolynomialsPolynomials in one variableLevel 46Expert MathematicsIf \(p(x)=x^2+1\), which statement about its zeroes in the real numbers is correct?Class 10PolynomialsPolynomials in one variableLevel 46Expert MathematicsWhich of the following polynomials has exactly two distinct real zeroes, one of which has multiplicity 2?Class 10PolynomialsPolynomials in one variableLevel 48Hard MathematicsIf p(x)=x^2−16, which statement about the type of zeroes is correct?Class 10PolynomialsIrrational numbers and real numbersLevel 25Easy MathematicsIf (p(x)=x^2-14x+45) and (q(x)=x^2-14x+43), which statement is correct?Class 10PolynomialsIrrational numbers and real numbersLevel 27Hard MathematicsIf \(p(x)=x^2-2x-3\), are both of its zeroes real?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard MathematicsIf (p(x)=x^2-2), which statement about its real zeroes is correct?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard MathematicsA 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 24Medium MathematicsIf a parabola opens downward and cuts the (x)-axis at two points, how many real zeroes will it have?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Expert MathematicsIf a parabola remains entirely above the x-axis and never touches it, how many real zeroes does it have?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Easy MathematicsIf (p(x)=x^4-1296), what are the real (x)-axis intersections?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Expert MathematicsIf (p(x)=x^4-625), what are the real (x)-axis intersections?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22Expert MathematicsIf (p(x)=x^4-81), what are the real (x)-axis intersections?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Hard