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Polynomials In One Variable

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

MathematicsIf \(p(x)=x^2+ax+b\) is a quadratic polynomial such that \(p(-1)=0\) and \(p(5)=0\), what is the value of \(b\)?Class 10PolynomialsPolynomials in one variableLevel 48Hard MathematicsWhat is the coefficient of x^2 in (2x-1)(x^2-3x+4)?Class 10PolynomialsPolynomials in one variableLevel 48Medium MathematicsWhat is the coefficient of \(x\) in the sum of the polynomials \(p(x)=4x^3-7x^2+2x-5\) and \(q(x)=-x^3+3x^2-6x+9\)?Class 10PolynomialsPolynomials in one variableLevel 48Hard 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 MathematicsIf p(x)=x^4-5x^2+4, which value is not a zero of p(x)?Class 10PolynomialsPolynomials in one variableLevel 46Medium MathematicsIf 2x^2+5x-3 is written with factors involving (x-alpha)(x-beta), what is alpha+beta?Class 10PolynomialsPolynomials in one variableLevel 46Medium MathematicsIf alpha and beta are zeroes of x^2+5x+6, what is the new polynomial whose zeroes are alpha+1 and beta+1?Class 10PolynomialsPolynomials in one variableLevel 46Hard MathematicsIf p(x)=x^3-2x^2-5x+6, which of the following is not a zero?Class 10PolynomialsPolynomials in one variableLevel 46Medium MathematicsIf the zeroes of (x^2+px+16) are equal and negative, what is (p)?Class 10PolynomialsPolynomials in one variableLevel 46Medium 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 MathematicsWhat is the remainder when the polynomial \(p(x)=3x^3-2x^2+x+7\) is divided by \(x+2\)?Class 10PolynomialsPolynomials in one variableLevel 46Hard MathematicsWhat is the remainder when the polynomial x^3 - 5x^2 + 8x - 4 is divided by x - 1?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 MathematicsWhat are the zeroes of the polynomial \(x^3-6x^2+11x-6\)?Class 10PolynomialsPolynomials in one variableLevel 46Hard MathematicsIf (x-a), (x-b), and (x-c) are factors of a cubic polynomial, which is a possible polynomial?Class 10PolynomialsPolynomials in one variableLevel 46Medium MathematicsWhich statement about the zeroes of (x^2-6x+9) is correct?Class 10PolynomialsPolynomials in one variableLevel 46Medium MathematicsIf the sum of the zeroes of the polynomial \(p(x)=2x^2+kx+8\) is \(3\), what is the value of \(k\)?Class 10PolynomialsPolynomials in one variableLevel 46Hard MathematicsIf the zeroes of the polynomial \(x^2+ax+b\) are \(4\) and \(-7\), what is the value of \(a-b\)?Class 10PolynomialsPolynomials in one variableLevel 46Hard MathematicsIf the zeroes of the polynomial \(p(x)=x^3+px^2+qx-6\) are \(1, 2\), and \(3\), what is the value of \(p+q\)?Class 10PolynomialsPolynomials in one variableLevel 46Hard