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Factor Theorem

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

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 x=0 is a zero of p(x)=7x^3-2x, what is the reason?Class 10PolynomialsPolynomials in one variableLevel 46Easy MathematicsIf \(x=1\) is a zero of \(p(x)=x^3+x^2-10x+8\), what is the remaining quadratic factor?Class 10PolynomialsPolynomials in one variableLevel 46Expert 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 (x-2) is a factor of (p(x)=x^3+kx^2-4x-4), what is the value of (k)?Class 10PolynomialsPolynomials in one variableLevel 46Expert MathematicsIf \(x+2\) is a factor of the polynomial \(p(x)=x^3+mx^2-4x-4\), what is the value of \(m\)?Class 10PolynomialsPolynomials in one variableLevel 46Hard MathematicsWhich statement is correct for the polynomial \(p(x)=x^3-7x+6\)?Class 10PolynomialsPolynomials in one variableLevel 46Hard MathematicsWhich of the following is a factor of the polynomial P(x) = 2x³ − 9x² + 13x − 6?Class 10PolynomialsPolynomials in one variableLevel 46Hard MathematicsFor the polynomial \(p(x)=2x^3-3x^2-11x+6\), a student finds that \(p(3)=0\) and concludes that \(x+3\) is a factor. What is the correct correction to the student's conclusion?Class 10PolynomialsPolynomials in one variableLevel 46Hard MathematicsIf the remainder when the polynomial \(p(x)\) is divided by \(x-4\) is \(7\), what is the value of \(p(4)\)?Class 10PolynomialsPolynomials in one variableLevel 46Hard MathematicsIf (x+1) is a factor of the polynomial P(x)=2x^3+kx^2-5x+2, what is the value of k?Class 10PolynomialsPolynomials in one variableLevel 46Hard MathematicsIf \((x+1)\) is a factor of the polynomial \(2x^3+kx^2-5x+2\), what is the value of \(k\)?Class 10PolynomialsPolynomials in one variableLevel 46Hard MathematicsIf \(p(x)=x^3-3x^2-4x+12\), which of the following is a factor of \(p(x)\)?Class 10PolynomialsPolynomials in one variableLevel 46Hard MathematicsWhich of the following conclusions is correct when x=2 is substituted in the polynomial p(x)=x^3-4x^2+x+6?Class 10PolynomialsPolynomials in one variableLevel 46Hard MathematicsIf \(p(x)=x^3+ax^2+bx\) satisfies \(p(0)=0\), which of the following conclusions is certainly correct?Class 10PolynomialsPolynomials in one variableLevel 47Hard MathematicsIf x − 2 is a factor of the polynomial p(x) = x³ + kx² − 4x − 12, what is the value of k?Class 10PolynomialsPolynomials in one variableLevel 47Hard MathematicsWhich statement is always true about x^2-(a+3)x+3a=0?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsIf 7 is a root of a quadratic polynomial, which factor must it have?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Easy MathematicsIf \(x-9\) is a factor of a quadratic polynomial, which root is certain to be a root of the polynomial?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Easy MathematicsIf \(x+5\) is a factor of a quadratic polynomial, which root is certain?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Easy