Class 9th math notes
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Q7/10: If x^2 + 1/x^2 = 27, find the positive value of x - 1/x.
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Q6/10: Find the value of x^3 + y^3 + z^3 - 3xyz if x = -2, y = -3, and z = 5.
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Q5/10: Factorise the cubic polynomial: x^3 - 23x^2 + 142x - 120.
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Q4/10: If a + b + c = 9 and ab + bc + ca = 26, find the value of a^2 + b^2 + c^2.
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Q2/10: If x + y = 12 and xy = 27, find the value of x^3 + y^3.
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Q1/10: If p(x) = x^2 - 2x + 1, find the value of p(2) + p(0).
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Q10/10: Which of the following is the correct expansion of (x + y + z)^2?
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Q8/10: Evaluate 103 x 107 without multiplying directly, using a suitable algebraic identity.
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Q6/10: Using the Remainder Theorem, find the remainder when x^3 - ax^2 + 6x - a is divided by x - a.
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Q5/10: If (x - 1) is a factor of the polynomial p(x) = kx^2 - 3x + k, find the value of k.
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Q1/10: What is the value of the polynomial p(x) = x^2 - 3x + 2 at x = 1?
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