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Quadratic Polynomials

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

MathematicsIf \(p(x)=x^2+5x+6\) and \(r(x)=p(-x)\), what are the zeroes of \(r(x)\)?Class 10PolynomialsPolynomials in one variableLevel 48Expert MathematicsIf \(x\) is a real number, what is the minimum value of \(p(x)=x^2+14x+53\)?Class 10PolynomialsPolynomials in one variableLevel 47Expert MathematicsFor the polynomial \(p(x)=x^2-12x+40\), at which value of \(x\) is the minimum value attained?Class 10PolynomialsPolynomials in one variableLevel 47Expert MathematicsIf one zero of the polynomial \(p(x)=x^2-10x+r\) is \(4\), what is its other zero?Class 10PolynomialsPolynomials in one variableLevel 46Expert MathematicsIf (2) and (-1) are zeroes of (p(x)=ax^2+bx+c), what is the value of (\frac{b}{a})?Class 10PolynomialsPolynomials in one variableLevel 46Expert MathematicsIf \(p(x)=x^2-4x+k\) and \(p(1)=p(3)\), what can be said about \(k\)?Class 10PolynomialsPolynomials in one variableLevel 46Hard MathematicsWhich of the following polynomials can be expressed as the square of a binomial?Class 10PolynomialsPolynomials in one variableLevel 47Hard MathematicsFor a real number \(x\), what is the minimum value of \(p(x)=x^2-6x+10\)?Class 10PolynomialsPolynomials in one variableLevel 47Hard MathematicsIf \(p(x)=3x^2-4x+1\) and \(q(x)=x^2+2x-5\), what is the value of \(p(x)+q(x)\)?Class 10PolynomialsPolynomials in one variableLevel 46Medium MathematicsIf p(x) = x² − 14x + 38, what is the correct type of its zeroes?Class 10Real NumbersIrrational numbersLevel 27Medium MathematicsIf p(x) = x² − 14x + 45, what is the type of its zeroes?Class 10Real NumbersIrrational numbersLevel 27Medium MathematicsIf the zeroes of a quadratic polynomial are \(3+\sqrt{5}\) and \(3-\sqrt{5}\), what is their sum?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard MathematicsWhich of the following polynomials has both zeroes as irrational real numbers?Class 10PolynomialsIrrational numbers and real numbersLevel 25Expert