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Cubic Polynomial

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 value of the polynomial (p(x)=x^3+mx-10) at (x=2) is zero, what is the value of (m)?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 \(p(x)=x^3-6x^2+12x-8\), what are the zero of \(p(x)\) and its multiplicity?Class 10PolynomialsPolynomials in one variableLevel 48Expert MathematicsIf (p(x)=x^3+ax^2+bx+20), (p(1)=0), and (p(-4)=0), what is the value of (a-b)?Class 10PolynomialsPolynomials in one variableLevel 47Expert MathematicsIf \(p(x)=3x^3-12x\), what is the value of \(p(-2)+p(2)\)?Class 10PolynomialsPolynomials in one variableLevel 47Expert MathematicsIf x = 1 and x = -2 are both zeros of p(x) = x^3 + ax^2 + bx + 18, what is a + b?Class 10PolynomialsPolynomials in one variableLevel 48Hard MathematicsWhich calculation correctly proves that \(p(4)=0\) for the polynomial \(p(x)=x^3-64\)?Class 10PolynomialsPolynomials in one variableLevel 47Expert MathematicsIf \(p(x)=x^3+ax+b\), \(p(1)=6\), and \(p(-2)=-9\), what is the value of \(a\)?Class 10PolynomialsPolynomials in one variableLevel 47Expert MathematicsFor the polynomial \(p(x)=4x^3-11x^2+6x+2\), what is the value of \(p(2)\)?Class 10PolynomialsPolynomials in one variableLevel 47Expert MathematicsIf (p(x)=kx^3+2x^2-7x+5) and (p(-1)=16), what is the value of (k)?Class 10PolynomialsPolynomials in one variableLevel 47Expert MathematicsIf (p(x)=x^3+ax^2+bx-12), (p(2)=0), and (p(3)=0), what is the value of (a+b)?Class 10PolynomialsPolynomials in one variableLevel 48Hard MathematicsIf p(x) = x^3 + 3x^2 - 4x - 12, which of the following is a factor of p(x)?Class 10PolynomialsPolynomials in one variableLevel 46Expert MathematicsIf p(x) = x³ − 6x² + 11x − 6, what are the zeroes of p(x)?Class 10PolynomialsPolynomials in one variableLevel 46Expert MathematicsIf \(p(x)=x^3-4x^2+x+6\), which of the following is a zero of \(p(x)\)?Class 10PolynomialsPolynomials in one variableLevel 46Expert MathematicsFor the polynomial \(p(x)=x^3-2x^2-3x+4\), what is the product of \(p(1)\) and \(p(-1)\)?Class 10PolynomialsPolynomials in one variableLevel 48Hard MathematicsIf \(p(x)=x^3+3x^2+3x+1\), what is the value of \(p(-2)\)?Class 10PolynomialsPolynomials in one variableLevel 48Hard MathematicsIf p(x)=2x³−8x, what is the value of p(−2)+p(2)?Class 10PolynomialsPolynomials in one variableLevel 48Hard MathematicsIf \(p(x)=x^3-x^2+x-1\), what is the value of \(p(1)\)?Class 10PolynomialsPolynomials in one variableLevel 48Hard MathematicsWhich calculation correctly proves that p(-3)=0 for the polynomial p(x)=x^3+27?Class 10PolynomialsPolynomials in one variableLevel 48Hard