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If x − 2 is a factor of x² + 3ax − 2a, then a =
Evaluate (999)³
Factorize: 2x² + y² + 8z² − 2√2xy + 4√2yz − 8zx
Give possible expressions for the length and breadth of the rectangle whose area is 25a² − 35a + 12
Ankit is a delivery boy. He rides scooty on all working days. The distance covered on scooty is given by polynomial expression p(x) = x² + 3x − 10. Assuming that he rides at the uniform speed and takes the time given by g(x) = x − 2, x > 2. Use the information stated above and answer the following questions:
Using factor theorem, factorize the polynomial: x⁴ – 7x³ + 9x² + 7x – 10
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