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Quadratic Polynomial

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

MathematicsIf \(p(x)=x^2+1\), which statement about its zeroes in the real numbers is correct?Class 10PolynomialsPolynomials in one variableLevel 46Expert MathematicsIf the sum of the zeroes of a monic quadratic polynomial is -4 and their product is 7, which is the polynomial?Class 10PolynomialsPolynomials in one variableLevel 46Expert MathematicsIf p(x)=5x^2+2x-8, what is the product of its zeroes?Class 10PolynomialsPolynomials in one variableLevel 46Medium MathematicsIf p(x)=2x^2-7x+3, what is the sum of its zeroes?Class 10PolynomialsPolynomials in one variableLevel 46Medium MathematicsIf \(p(x)=x^2+6x+9\), what is the nature of its zeroes?Class 10PolynomialsPolynomials in one variableLevel 46Expert MathematicsIf the polynomial \(f(x)=x^2+ax+b\) satisfies \(f(0)=-8\) and \(f(4)=0\), what is the value of \(a\)?Class 10PolynomialsPolynomials in one variableLevel 48Hard MathematicsIf \(p(x)=x^2+kx+16\) is a perfect-square polynomial and \(k<0\), what is the value of \(k\)?Class 10PolynomialsPolynomials in one variableLevel 48Hard MathematicsIf \(x\) is a real number, what is the minimum value of \(p(x)=x^2+10x+29\)?Class 10PolynomialsPolynomials in one variableLevel 48Hard MathematicsWhich of the following values of \(x\) is a zero of the polynomial \(p(x)=9x^2+12x+4\)?Class 10PolynomialsPolynomials in one variableLevel 48Hard MathematicsIf (p(x)=x^2-7x+12), what is the value of (p(3)+p(4))?Class 10PolynomialsPolynomials in one variableLevel 48Hard MathematicsIf \(p(x)=x^2+3x-10\), what is the value of \(p(4)-p(-2)\)?Class 10PolynomialsPolynomials in one variableLevel 48Hard 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 MathematicsIf \(p(x)=x^2+ax+b\), \(p(2)=0\), and \(p(4)=0\), what is the value of \(a+b\)?Class 10PolynomialsPolynomials in one variableLevel 48Hard MathematicsIf the zeros of the polynomial \(x^2+mx+n\) are \(0\) and \(5\), what is the value of \(m+n\)?Class 10PolynomialsPolynomials in one variableLevel 46Hard MathematicsThe sum of the zeroes of the quadratic polynomial \(kx^2+6x+4\) is \(-3\). What is the value of \(k\)?Class 10PolynomialsPolynomials in one variableLevel 46Hard MathematicsIf the zeroes of a quadratic polynomial are \(\alpha\) and \(\beta\), and \(\alpha+\beta=5\) and \(\alpha\beta=6\), which monic polynomial has these zeroes?Class 10PolynomialsPolynomials in one variableLevel 46Hard MathematicsIf \(p(x)=x^2-2x+5\), what is the value of \(p(1)\), and is \(1\) a zero of this polynomial?Class 10PolynomialsPolynomials in one variableLevel 46Hard MathematicsIf the product of the zeroes of the polynomial \(p(x)=3x^2-10x+m\) is \(\frac{4}{3}\), what is the value of \(m\)?Class 10PolynomialsPolynomials in one variableLevel 46Hard 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 \(p(x)=x^2-5x+6\), what is the value of \(p(3)-p(2)\)?Class 10PolynomialsPolynomials in one variableLevel 46Hard