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Zeros

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

MathematicsIf \(p(x)=3(x+4)(x-2)\), what effect does the constant factor 3 have on the zeros of \(p(x)\)?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Medium MathematicsIf the graph of a polynomial crosses the x-axis at (-7,0) and (2,0), what is the product of its zeros?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Medium MathematicsIf \(p(x)=x^2+4x+4\), how many real zeros are there?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Medium MathematicsIf \(p(-2)=0\) and \(p(3)=0\), which points must lie on the graph?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Medium MathematicsIf \(p(x)=(x-6)^2\), what will the graph do with the x-axis?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Medium MathematicsIf a graph passes through the points (0,4), (-3,0), (1,7) and (8,0), which points represent zeros of the polynomial?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Medium MathematicsIf the graph of a polynomial function cuts the x-axis at x = -2, x = 1 and x = 5, what is the sum of its zeros?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Medium MathematicsIf \(p(x)=x^2-2x\), at which \(x\)-values does its graph intersect the \(x\)-axis?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Medium MathematicsIn the table \(p(-5)=0,\ p(-1)=2,\ p(4)=0,\ p(6)=9\) are given. Which x-values are zeros of the polynomial \(p(x)\)?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Medium MathematicsIf the graph of a polynomial touches the x-axis at (2, 0) and crosses the x-axis at (5, 0), how many distinct real zeros does the polynomial have?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Medium MathematicsIf \(p(x)=(x+7)(x-1)\), at which points will its graph intersect the x-axis?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Medium MathematicsA parabola cuts the x-axis at x = -4 and x = 6. What is the midpoint between these zeros?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Medium MathematicsHow does a polynomial graph meeting the x-axis differ in meaning from it meeting the y-axis?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Medium MathematicsIf the graph of p(x) crosses the x-axis at (2, 0) and touches it at (-1, 0), how many distinct real zeros does p(x) have?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22Medium MathematicsIf the graph of a polynomial intersects the x-axis at the points (0,0), (2,0) and (5,0), which statement is correct?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22Medium MathematicsIf the graph of a polynomial cuts the x-axis at the points (-4,0) and (4,0), which statement about the zeroes is correct?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22Medium MathematicsIf \(p(-1)<0\), \(p(0)<0\) and \(p(2)=0\), which of the given numbers is definitely a zero of the polynomial?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22Medium MathematicsIf the graph of a polynomial crosses the x-axis at \(x=-2\) and only touches it at \(x=3\), what are the distinct real zeros?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22Medium MathematicsIf \(p(-3)=0\), \(p(0)=5\) and \(p(4)=0\), at which points will the graph intersect the x-axis?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22Medium MathematicsA student saw the y-axis intercept (0,8) and took 8 to be a zero (root) of the polynomial. What is the correct correction?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22Medium