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The remainder theorem states that if you divide a polynomial f(x) by (x - h), then the remainder is f(h). Here f(x) = x²⁷ + 51 and it is being divided by {x - (-1)} ∴ Remainder = f(-1) f(-1) = (-1)²⁷ + 51 ⇒ f(-1) = -1 + 51 ⇒ f(-1) = 50 ⇒ Remainder = 50
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The area of a rhombus is 170 cm2. The length of one of its diagonals is 20 cm. The length of the other diagonal is:
If tan A = √5 – 2, then the value of tan A - cot A = ?