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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 \(p(x)=x^3-3x^2-4x+12\), what is its complete factorised form?Class 10PolynomialsPolynomials in one variableLevel 48Expert MathematicsIf the minimum value of \(p(x)=x^2-2x+k\) is \(3\), what is the value of \(k\)?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 MathematicsWhich of the following expressions is a polynomial in one variable \(x\) of degree 4?Class 10PolynomialsPolynomials in one variableLevel 48Expert MathematicsIf p(x) = 2x² − 7x + 5, what is the difference between the sum and product of its zeroes?Class 10PolynomialsPolynomials in one variableLevel 48Medium MathematicsIf the zeroes of the polynomial \(p(x)=x^2-kx+36\) are positive and in the ratio 1:4, what is the value of k?Class 10PolynomialsPolynomials in one variableLevel 48Expert MathematicsA non-zero polynomial in one variable has degree 4. What is the maximum number of zeroes it can have?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 one zero of the polynomial \(p(x)=2x^2+mx+18\) is \(3\), what is its other zero?Class 10PolynomialsPolynomials in one variableLevel 48Expert MathematicsIf the zeroes of p(x) = x² + bx + 16 are reciprocals of each other, what can be said about b?Class 10PolynomialsPolynomials in one variableLevel 48Medium MathematicsIf \(p(x)=x^3-6x^2+12x-8\), what are the zero of \(p(x)\) and its multiplicity?Class 10PolynomialsPolynomials in one variableLevel 48Expert MathematicsIf p(x) = x³ − 4x² − 7x + 10 and (x − 1) is a factor, what is the remaining quadratic factor?Class 10PolynomialsPolynomials in one variableLevel 48Medium MathematicsIf the difference between the two zeroes of the polynomial \(p(x)=x^2-6x+s\) is 2, what is the value of \(s\)?Class 10PolynomialsPolynomials in one variableLevel 48Expert MathematicsIf p(x) = x^3 - 2x^2 - 13x - 10, which of the following is a zero of p(x)?Class 10PolynomialsPolynomials in one variableLevel 48Medium MathematicsIf (x-3) is a factor of (p(x)=x^3-5x^2+ax+12), what is the value of (a)?Class 10PolynomialsPolynomials in one variableLevel 48Expert MathematicsIf \(P(x)=x^2+px+q\), \(P(0)=12\), and \(P(3)=0\), what is the value of the coefficient \(p\)?Class 10PolynomialsPolynomials in one variableLevel 47Expert MathematicsFor p(x) = x^3 - x^2 - 4x + 4, what is p(2) - p(-2)?Class 10PolynomialsPolynomials in one variableLevel 48Medium MathematicsIf \(p(x)=x^3-3x^2-4x+12\), what is the product of \(p(2)\) and \(p(-2)\)?Class 10PolynomialsPolynomials in one variableLevel 47Expert MathematicsIf p(x) = 5x^2 - 4x + 3, what is p(x) + p(-x)?Class 10PolynomialsPolynomials in one variableLevel 48Medium