If 5x + 7 \(\equiv\) P(x + 3) + Q(x - 1), find the value of p
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2024
If h(x) = x\(^2\) + px + 2 is divided by (x + 3), the remainder is 5, find p
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2024
If the n\(^{th}\) term of a linear sequence (A.P) is (5n - 2), find the sum of the first 12 terms of the sequence.
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2024
A binary operation * is defined on the set of real numbers, R by x * y = \(\frac{y^2 - x^2}{2xy}\), x, y ≠ 0, where x and y are real numbers. Evaluate -3 * 2
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2024
\(\sqrt{x}\) - \(\frac{6}{\sqrt{x}}\) = 1, find the value of x
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2024
Given that f: x → \(\sqrt{x}\) and g : x → 25 - x\(^2\), find the value of f o g(3)
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2024
If \(\frac{5}{\sqrt{2}}\) - \(\frac{\sqrt{8}}{8}\) = m\(\sqrt{2}\), find the value of m