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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 \(p(x)=x^2-16\), what is the value of \(p(4)\)?Class 10PolynomialsPolynomials in one variableLevel 48Medium MathematicsIf \(p(x)=x^2+4x+4\), what is the value of \(p(-2)\)?Class 10PolynomialsPolynomials in one variableLevel 48Easy MathematicsIf p(x)=x^2-1, what is the value of p(-1)?Class 10PolynomialsPolynomials in one variableLevel 48Easy MathematicsWhat are the roots of the equation \(x^2-8x=0\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Medium MathematicsIf the zeroes of a quadratic polynomial are \(4+\sqrt{7}\) and \(4-\sqrt{7}\), what is their product?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard MathematicsIf the graph of \(p(x)=x^2-11x+30\) is drawn, at which points does it intersect the x-axis?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Expert MathematicsIf \(p(x)=2x^2-8\), at which \(x\)-values will the graph cut the \(x\)-axis?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Expert MathematicsIf \(p(x)=x^2-2x-8\), at which points does its graph intersect the x-axis?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Expert MathematicsIf a graph crosses the x-axis at 2.5, what is the zero (root) of the polynomial?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Expert MathematicsIf p(x)=4x, at which point does its graph intersect the x-axis?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Expert MathematicsFor a polynomial p(x) we are given p(-3)<0, p(1)=0 and p(4)>0. Which zero is certainly a root?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Expert MathematicsIf the graph of a polynomial crosses the x-axis only at x = -6 and does not meet the axis anywhere else, what is the polynomial's zero (root)?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Expert MathematicsWhat is the graph of the zero polynomial \(p(x)=0\)?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Expert MathematicsIf the graph of a polynomial cuts the \(x\)-axis at \(a\) and \(b\) with \(a \neq b\), what are the values of \(p(a)\) and \(p(b)\)?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Expert MathematicsA polynomial's graph crosses the \(x\)-axis at \\((-5,0)\\) and touches the \(x\)-axis at \\((2,0)\\). Based on this information, what is the number of real (distinct) zeros?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Expert MathematicsIn which situation is \\(x=3)\\ called a zero of the polynomial \\(p(x))\\?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Expert MathematicsIf the graph of a polynomial crosses the x-axis at the origin (0,0), which conclusion is certain?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Expert MathematicsThe graph shows p(2)=0. What is its geometric meaning?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Expert MathematicsIf the graph of a polynomial touches the x-axis at a point but does not cross it there, what does this indicate?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Expert MathematicsIf \(p(x)=x^2-hx\), what are the x-intercepts of its graph?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Expert