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Polynomials

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

MathematicsIf a polynomial in one variable has degree 4, which statement about its number of real zeroes is definitely true?Class 10PolynomialsPolynomials in one variableLevel 46Expert MathematicsIf one zero of the polynomial \(p(x)=x^2+3x-18\) is \(3\), what is its other zero?Class 10PolynomialsPolynomials in one variableLevel 46Expert 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 MathematicsWhich polynomial has 8-19 and 849 as its zeroes?Class 10PolynomialsPolynomials in one variableLevel 46Expert MathematicsIf x=0 is a zero of p(x)=7x^3-2x, what is the reason?Class 10PolynomialsPolynomials in one variableLevel 46Easy MathematicsIf \(p(x)=4x-12\), what is its zero?Class 10PolynomialsPolynomials in one variableLevel 46Expert MathematicsWhich of the following is a linear polynomial in x?Class 10PolynomialsPolynomials in one variableLevel 46Easy MathematicsIf the sum of the zeroes of p(x)=x^2-2(k+1)x+k^2 is 10, what is k?Class 10PolynomialsPolynomials in one variableLevel 46Medium MathematicsIf the zeroes of the polynomial \(p(x)=x^2+px+q\) are 4 and −5, what is the value of \(p+q\)?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)=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 (p(x)=2x^3-5x^2+mx+6) leaves remainder (0) when divided by (x+1), what is (m)?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 (p(x)=ax^2+bx+c) with (a\neq0) and (p(1)=p(-1)=0), what is the value of (b)?Class 10PolynomialsPolynomials in one variableLevel 46Expert MathematicsWhich polynomial makes x=0 a zero?Class 10PolynomialsPolynomials in one variableLevel 48Easy 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 MathematicsFor p(x)=x^3+2x^2-4x-8, what is p(2)-p(-2)?Class 10PolynomialsPolynomials in one variableLevel 48Medium MathematicsIf \(x\) is a real number, what is the minimum value of \(p(x)=x^2+10x+29\)?Class 10PolynomialsPolynomials in one variableLevel 48Hard