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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^3-16x, at how many distinct points will the graph cut the x-axis?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Medium MathematicsIf p(-6)=0, p(-1)>0, p(4)=0 and p(7)<0, what is the product of the given zeroes?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Medium MathematicsIf \(p(x)=x^2-(m+n)x+mn\), what are the x-axis intersections (x-intercepts) of its graph?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Hard MathematicsIf \(p(x)=x^2-ax\), what are the x-axis intercepts (x-intercepts) of its graph?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22Hard 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 p(x)=x²−11x+30, what is the distance between the zeroes of the graph?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22Medium 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)=2x^2+12x+18, how will the graph meet the x-axis?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22Medium MathematicsIf a graph cuts the x-axis at (2,0) and (8,0), what is the position of x=5 between them?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22Medium 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 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 a graph has zeros −2, 3 and 7, which is the correct set of x-axis intersection points?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22Hard MathematicsA student says that if the graph of a polynomial meets the y-axis at (0,0) then x=0 cannot be a zero (root) because that point lies on the y-axis. What is the correct conclusion?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22Hard MathematicsIf the graph of a polynomial crosses the x-axis at \\(x=-3\\) and only touches it at \\(x=2\\), which statement is correct?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22Hard MathematicsIf \(p(x)=x^2-2kx+k^2\), at which x-value will its graph touch the x-axis?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22Hard MathematicsIf a polynomial graph cuts the x-axis at (−4, 0), (2, 0), and (9, 0), what is the product of these zeroes?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22Hard MathematicsIf p(−6) = 0, p(0) = 0, and p(5) = 0, which statement about the graph is correct?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Medium 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 a graph cuts the x-axis at the points (2,0) and (14,0), what is the average of the zeroes?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Medium MathematicsIf p(x) = 0 is the zero polynomial, which statement about its zeroes is correct?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Medium