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

MathematicsWhich of the following monic cubic polynomials has 0, 2, and −3 as its zeroes?Class 10PolynomialsPolynomials in one variableLevel 46Hard 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^2-3x-10), what is (\alpha^2\beta+\alpha\beta^2)?Class 10PolynomialsPolynomials in one variableLevel 46Hard MathematicsIf the zeroes of p(x) = x³ + ax² + bx + 8 are −1, −2, and −4, what is the value of a + b?Class 10PolynomialsPolynomials in one variableLevel 46Hard MathematicsIf the zeroes of the polynomial \(x^2-10x+q\) are \(2r\) and \(3r\), what is the value of \(q\)?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 \(\alpha\) and \(\beta\) are the zeroes of \(x^2-8x+k\) and \(\alpha-\beta=2\), what is the value of \(k\)?Class 10PolynomialsPolynomials in one variableLevel 46Hard MathematicsFor which (k) does (x^2+kx+9) have one zero three times the other and both positive?Class 10PolynomialsPolynomials in one variableLevel 46Hard MathematicsIf (\alpha) and (\beta) are zeroes of (x^2-4x+1), what is (\alpha^3+\beta^3)?Class 10PolynomialsPolynomials in one variableLevel 46Hard 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 MathematicsWhich of the following is a factor of the polynomial P(x) = 2x³ − 9x² + 13x − 6?Class 10PolynomialsPolynomials in one variableLevel 46Hard MathematicsIf \(p(x)=x^2-4x+k\) and \(p(1)=p(3)\), what can be said about \(k\)?Class 10PolynomialsPolynomials in one variableLevel 46Hard MathematicsIf the zeroes of (x^2+px+16) are equal and negative, what is (p)?Class 10PolynomialsPolynomials in one variableLevel 46Medium MathematicsIf \(\alpha\) and \(\beta\) are the zeroes of the polynomial \(3x^2+2x-1\), what is the value of \((\alpha+\beta)^2\)?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 (\alpha) and (\beta) are zeroes of (2x^2-3x-5), what is (\frac{1}{\alpha}+\frac{1}{\beta})?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 MathematicsWhich one is not a linear factor of (x^4-1)?Class 10PolynomialsPolynomials in one variableLevel 46Hard