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Class 10th Maths notes
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If 1 is a zero of the polynomial p(x) = ax² - 3(a-1)x - 1, then the value of 'a' is:
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If the zeroes of the quadratic polynomial x² + (a+1)x + b are 2 and -3, then:
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If the graph of a quadratic polynomial lies entirely above the x-axis, then it has:
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On dividing x³ - 3x² + x + 2 by a polynomial g(x), the quotient and remainder were x-2 and -2x+4 respectively. Then g(x) is:
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If the zeroes of the polynomial 5x² + 13x + k are reciprocal of each other, then the value of k is:
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A quadratic polynomial whose sum and product of zeroes are -3 and 2 respectively is:
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If two zeroes of the polynomial x⁴ - 6x³ - 26x² + 138x - 35 are 2 ± √3, the other two zeroes are:
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The product of the zeroes of the quadratic polynomial 2x² - 9x + 4 is:
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The sum of the zeroes of the quadratic polynomial 3x² + 5x - 2 is:
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The sum of the zeroes of the cubic polynomial 2x³ - 5x² - 14x + 8 is:
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The product of the zeroes of the cubic polynomial p(x) = x³ - 7x + 6 is:
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If α and β are the zeroes of the polynomial 2x² - 3x + 1, then the value of α² + β² is:
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What must be subtracted from p(x) = 8x⁴ + 14x³ - 2x² + 7x - 8 so that the resulting polynomial is exactly divisible by g(x) = 4x² + 3x - 2?
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If α and β are the zeroes of the polynomial x² - 5x + 6, then the value of 1/α + 1/β is:
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The number of zeroes for a polynomial p(x) whose graph is given below is:
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The graph of y = ax² + bx + c is an upward-opening parabola which intersects the x-axis at two distinct points. Which of the following is correct?
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Polynomials
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