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Zeros Of Polynomial

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

MathematicsWhich of the following values is a zero of the polynomial \(p(x)=x^2-9\)?Class 10PolynomialsPolynomials in one variableLevel 48Easy MathematicsWhich of the following linear polynomials has zero \(2\sqrt{3}\)?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard MathematicsIf the graph of a polynomial goes from above the x-axis to below it and the point (9,0) lies exactly at that crossing, what does (9,0) represent?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Expert MathematicsHow many real zeros does the constant polynomial \(p(x)=5\) have?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Expert MathematicsIf p(x) = 2(x-1)(x+4), what are the x-intercepts of its graph?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Expert MathematicsWhat is the x-intercept of the graph of \(p(x)=3x+6\)?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Expert MathematicsIf \(p(-12)=0,\; p(-2)=6,\; p(4)=0,\; p(15)=0\), how many of the given x-values are zeroes (roots) of \(p\)?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Expert MathematicsIf \(p(x)=25x^2-36\), what are the x-axis intersections of its graph?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22Expert MathematicsIf p(x)=9x^2-16, what are the x-axis intersections (x-intercepts) of its graph?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Hard MathematicsIf a polynomial has values \(p(-4)=0\), \(p(0)=3\), \(p(2)=0\), \(p(5)=0\), how many of the given x‑values are zeros (roots) of the polynomial?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22Hard MathematicsIf the graph of a polynomial intersects the x-axis at \((0,0)\) and \((a,0)\), where \(a \neq 0\), what is the product of its zeros?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22Hard MathematicsIf \(p(x)=4x^2-25\), what are the x-axis intercepts of its graph?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22Hard MathematicsIf \(p(x)=-(x-1)(x+4)\), at which real zeros (x-intercepts) does its graph cross the x-axis?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Medium MathematicsIf \(p(x)=3x-15\), what is the x-axis intersection (x-intercept) of its graph?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Medium MathematicsThe graph of a polynomial crosses the x-axis at two distinct points and does not merely touch it at any point. What does this imply?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Medium MathematicsA graph cuts the x-axis at (a, 0), (0, 0) and (-a, 0) where \(a \neq 0\). What is the sum of the zeroes?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Medium MathematicsIf the real zeroes of a polynomial are (5), (5) and (−1), what are the distinct real zeroes?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Medium MathematicsIf the zeroes of a polynomial's graph are -4 and 9, what is the distance between them on the x-axis?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Medium MathematicsIf \(p(x)=5\), which statement about its graph is correct?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Medium MathematicsIn which situation will x=0 NOT be a zero (root) of the polynomial?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Medium